Recasting the Elliott conjecture

Abstract Let A be a simple, unital, finite, and exact $ C^{*} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial ma...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Perera, Francesc [verfasserIn] Toms, Andrew S.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2007

Schlagwörter:	Dimension Function Positive Element Compact Hausdorff Space Stable Rank Real Rank

Anmerkung:	© Springer-Verlag 2007

Übergeordnetes Werk:	Enthalten in: Mathematische Annalen - Springer-Verlag, 1869, 338(2007), 3 vom: 24. Feb., Seite 669-702
Übergeordnetes Werk:	volume:338 ; year:2007 ; number:3 ; day:24 ; month:02 ; pages:669-702

Links:	Volltext

DOI / URN:	10.1007/s00208-007-0093-3

Katalog-ID:	OLC2039617779

Internformat


LEADER	01000caa a22002652 4500
001	OLC2039617779
003	DE-627
005	20240308175907.0
007	tu
008	200820s2007 xx \|\|\|\|\| 00\| \|\|eng c
024	7		\|a 10.1007/s00208-007-0093-3 \|2 doi
035			\|a (DE-627)OLC2039617779
035			\|a (DE-He213)s00208-007-0093-3-p
040			\|a DE-627 \|b ger \|c DE-627 \|e rakwb
041			\|a eng
082	0	4	\|a 510 \|q VZ
082	0	4	\|a 510 \|q VZ
084			\|a 17,1 \|2 ssgn
084			\|a 31.00 \|2 bkl
100	1		\|a Perera, Francesc \|e verfasserin \|4 aut
245	1	0	\|a Recasting the Elliott conjecture
264		1	\|c 2007
336			\|a Text \|b txt \|2 rdacontent
337			\|a ohne Hilfsmittel zu benutzen \|b n \|2 rdamedia
338			\|a Band \|b nc \|2 rdacarrier
500			\|a © Springer-Verlag 2007
520			\|a Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form.
650		4	\|a Dimension Function
650		4	\|a Positive Element
650		4	\|a Compact Hausdorff Space
650		4	\|a Stable Rank
650		4	\|a Real Rank
700	1		\|a Toms, Andrew S. \|4 aut
773	0	8	\|i Enthalten in \|t Mathematische Annalen \|d Springer-Verlag, 1869 \|g 338(2007), 3 vom: 24. Feb., Seite 669-702 \|w (DE-627)129060151 \|w (DE-600)285-9 \|w (DE-576)014390825 \|x 0025-5831 \|7 nnns
773	1	8	\|g volume:338 \|g year:2007 \|g number:3 \|g day:24 \|g month:02 \|g pages:669-702
856	4	1	\|u https://doi.org/10.1007/s00208-007-0093-3 \|z lizenzpflichtig \|3 Volltext
912			\|a GBV_USEFLAG_A
912			\|a SYSFLAG_A
912			\|a GBV_OLC
912			\|a SSG-OLC-MAT
912			\|a SSG-OPC-MAT
912			\|a SSG-OPC-FOR
912			\|a GBV_ILN_11
912			\|a GBV_ILN_21
912			\|a GBV_ILN_22
912			\|a GBV_ILN_24
912			\|a GBV_ILN_30
912			\|a GBV_ILN_31
912			\|a GBV_ILN_40
912			\|a GBV_ILN_62
912			\|a GBV_ILN_65
912			\|a GBV_ILN_70
912			\|a GBV_ILN_120
912			\|a GBV_ILN_2002
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2012
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2018
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2030
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2409
912			\|a GBV_ILN_4027
912			\|a GBV_ILN_4036
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4266
912			\|a GBV_ILN_4277
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4317
912			\|a GBV_ILN_4318
912			\|a GBV_ILN_4319
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4700
936	b	k	\|a 31.00 \|j Mathematik: Allgemeines \|j Mathematik: Allgemeines \|q VZ
951			\|a AR
952			\|d 338 \|j 2007 \|e 3 \|b 24 \|c 02 \|h 669-702

Indexfelder

author_variant	f p fp a s t as ast
matchkey_str	article:00255831:2007----::eatntelitc
hierarchy_sort_str	2007
bklnumber	31.00
publishDate	2007
allfields	10.1007/s00208-007-0093-3 doi (DE-627)OLC2039617779 (DE-He213)s00208-007-0093-3-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn 31.00 bkl Perera, Francesc verfasserin aut Recasting the Elliott conjecture 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form. Dimension Function Positive Element Compact Hausdorff Space Stable Rank Real Rank Toms, Andrew S. aut Enthalten in Mathematische Annalen Springer-Verlag, 1869 338(2007), 3 vom: 24. Feb., Seite 669-702 (DE-627)129060151 (DE-600)285-9 (DE-576)014390825 0025-5831 nnns volume:338 year:2007 number:3 day:24 month:02 pages:669-702 https://doi.org/10.1007/s00208-007-0093-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT SSG-OPC-FOR GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 338 2007 3 24 02 669-702
spelling	10.1007/s00208-007-0093-3 doi (DE-627)OLC2039617779 (DE-He213)s00208-007-0093-3-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn 31.00 bkl Perera, Francesc verfasserin aut Recasting the Elliott conjecture 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form. Dimension Function Positive Element Compact Hausdorff Space Stable Rank Real Rank Toms, Andrew S. aut Enthalten in Mathematische Annalen Springer-Verlag, 1869 338(2007), 3 vom: 24. Feb., Seite 669-702 (DE-627)129060151 (DE-600)285-9 (DE-576)014390825 0025-5831 nnns volume:338 year:2007 number:3 day:24 month:02 pages:669-702 https://doi.org/10.1007/s00208-007-0093-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT SSG-OPC-FOR GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 338 2007 3 24 02 669-702
allfields_unstemmed	10.1007/s00208-007-0093-3 doi (DE-627)OLC2039617779 (DE-He213)s00208-007-0093-3-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn 31.00 bkl Perera, Francesc verfasserin aut Recasting the Elliott conjecture 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form. Dimension Function Positive Element Compact Hausdorff Space Stable Rank Real Rank Toms, Andrew S. aut Enthalten in Mathematische Annalen Springer-Verlag, 1869 338(2007), 3 vom: 24. Feb., Seite 669-702 (DE-627)129060151 (DE-600)285-9 (DE-576)014390825 0025-5831 nnns volume:338 year:2007 number:3 day:24 month:02 pages:669-702 https://doi.org/10.1007/s00208-007-0093-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT SSG-OPC-FOR GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 338 2007 3 24 02 669-702
allfieldsGer	10.1007/s00208-007-0093-3 doi (DE-627)OLC2039617779 (DE-He213)s00208-007-0093-3-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn 31.00 bkl Perera, Francesc verfasserin aut Recasting the Elliott conjecture 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form. Dimension Function Positive Element Compact Hausdorff Space Stable Rank Real Rank Toms, Andrew S. aut Enthalten in Mathematische Annalen Springer-Verlag, 1869 338(2007), 3 vom: 24. Feb., Seite 669-702 (DE-627)129060151 (DE-600)285-9 (DE-576)014390825 0025-5831 nnns volume:338 year:2007 number:3 day:24 month:02 pages:669-702 https://doi.org/10.1007/s00208-007-0093-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT SSG-OPC-FOR GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 338 2007 3 24 02 669-702
allfieldsSound	10.1007/s00208-007-0093-3 doi (DE-627)OLC2039617779 (DE-He213)s00208-007-0093-3-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn 31.00 bkl Perera, Francesc verfasserin aut Recasting the Elliott conjecture 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2007 Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form. Dimension Function Positive Element Compact Hausdorff Space Stable Rank Real Rank Toms, Andrew S. aut Enthalten in Mathematische Annalen Springer-Verlag, 1869 338(2007), 3 vom: 24. Feb., Seite 669-702 (DE-627)129060151 (DE-600)285-9 (DE-576)014390825 0025-5831 nnns volume:338 year:2007 number:3 day:24 month:02 pages:669-702 https://doi.org/10.1007/s00208-007-0093-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT SSG-OPC-FOR GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 338 2007 3 24 02 669-702
language	English
source	Enthalten in Mathematische Annalen 338(2007), 3 vom: 24. Feb., Seite 669-702 volume:338 year:2007 number:3 day:24 month:02 pages:669-702
sourceStr	Enthalten in Mathematische Annalen 338(2007), 3 vom: 24. Feb., Seite 669-702 volume:338 year:2007 number:3 day:24 month:02 pages:669-702
format_phy_str_mv	Article
bklname	Mathematik: Allgemeines
institution	findex.gbv.de
topic_facet	Dimension Function Positive Element Compact Hausdorff Space Stable Rank Real Rank
dewey-raw	510
isfreeaccess_bool	false
container_title	Mathematische Annalen
authorswithroles_txt_mv	Perera, Francesc @@aut@@ Toms, Andrew S. @@aut@@
publishDateDaySort_date	2007-02-24T00:00:00Z
hierarchy_top_id	129060151
dewey-sort	3510
id	OLC2039617779
language_de	englisch
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2039617779</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240308175907.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2007 xx \|\|\|\|\| 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00208-007-0093-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2039617779</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00208-007-0093-3-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Perera, Francesc</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Recasting the Elliott conjecture</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dimension Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Positive Element</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Compact Hausdorff Space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stable Rank</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Real Rank</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Toms, Andrew S.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Mathematische Annalen</subfield><subfield code="d">Springer-Verlag, 1869</subfield><subfield code="g">338(2007), 3 vom: 24. Feb., Seite 669-702</subfield><subfield code="w">(DE-627)129060151</subfield><subfield code="w">(DE-600)285-9</subfield><subfield code="w">(DE-576)014390825</subfield><subfield code="x">0025-5831</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:338</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:3</subfield><subfield code="g">day:24</subfield><subfield code="g">month:02</subfield><subfield code="g">pages:669-702</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00208-007-0093-3</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-FOR</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_21</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_120</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2004</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2007</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2009</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2030</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4036</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4266</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4317</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4319</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.00</subfield><subfield code="j">Mathematik: Allgemeines</subfield><subfield code="j">Mathematik: Allgemeines</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">338</subfield><subfield code="j">2007</subfield><subfield code="e">3</subfield><subfield code="b">24</subfield><subfield code="c">02</subfield><subfield code="h">669-702</subfield></datafield></record></collection>
author	Perera, Francesc
spellingShingle	Perera, Francesc ddc 510 ssgn 17,1 bkl 31.00 misc Dimension Function misc Positive Element misc Compact Hausdorff Space misc Stable Rank misc Real Rank Recasting the Elliott conjecture
authorStr	Perera, Francesc
ppnlink_with_tag_str_mv	@@773@@(DE-627)129060151
format	Article
dewey-ones	510 - Mathematics
delete_txt_mv	keep
author_role	aut aut
collection	OLC
remote_str	false
illustrated	Not Illustrated
issn	0025-5831
topic_title	510 VZ 17,1 ssgn 31.00 bkl Recasting the Elliott conjecture Dimension Function Positive Element Compact Hausdorff Space Stable Rank Real Rank
topic	ddc 510 ssgn 17,1 bkl 31.00 misc Dimension Function misc Positive Element misc Compact Hausdorff Space misc Stable Rank misc Real Rank
topic_unstemmed	ddc 510 ssgn 17,1 bkl 31.00 misc Dimension Function misc Positive Element misc Compact Hausdorff Space misc Stable Rank misc Real Rank
topic_browse	ddc 510 ssgn 17,1 bkl 31.00 misc Dimension Function misc Positive Element misc Compact Hausdorff Space misc Stable Rank misc Real Rank
format_facet	Aufsätze Gedruckte Aufsätze
format_main_str_mv	Text Zeitschrift/Artikel
carriertype_str_mv	nc
hierarchy_parent_title	Mathematische Annalen
hierarchy_parent_id	129060151
dewey-tens	510 - Mathematics
hierarchy_top_title	Mathematische Annalen
isfreeaccess_txt	false
familylinks_str_mv	(DE-627)129060151 (DE-600)285-9 (DE-576)014390825
title	Recasting the Elliott conjecture
ctrlnum	(DE-627)OLC2039617779 (DE-He213)s00208-007-0093-3-p
title_full	Recasting the Elliott conjecture
author_sort	Perera, Francesc
journal	Mathematische Annalen
journalStr	Mathematische Annalen
lang_code	eng
isOA_bool	false
dewey-hundreds	500 - Science
recordtype	marc
publishDateSort	2007
contenttype_str_mv	txt
container_start_page	669
author_browse	Perera, Francesc Toms, Andrew S.
container_volume	338
class	510 VZ 17,1 ssgn 31.00 bkl
format_se	Aufsätze
author-letter	Perera, Francesc
doi_str_mv	10.1007/s00208-007-0093-3
dewey-full	510
title_sort	recasting the elliott conjecture
title_auth	Recasting the Elliott conjecture
abstract	Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form. © Springer-Verlag 2007
abstractGer	Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form. © Springer-Verlag 2007
abstract_unstemmed	Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form. © Springer-Verlag 2007
collection_details	GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT SSG-OPC-FOR GBV_ILN_11 GBV_ILN_21 GBV_ILN_22 GBV_ILN_24 GBV_ILN_30 GBV_ILN_31 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4325 GBV_ILN_4700
container_issue	3
title_short	Recasting the Elliott conjecture
url	https://doi.org/10.1007/s00208-007-0093-3
remote_bool	false
author2	Toms, Andrew S.
author2Str	Toms, Andrew S.
ppnlink	129060151
mediatype_str_mv	n
isOA_txt	false
hochschulschrift_bool	false
doi_str	10.1007/s00208-007-0093-3
up_date	2024-07-03T23:27:47.251Z
_version_	1803602380459081728
fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2039617779</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20240308175907.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200820s2007 xx \|\|\|\|\| 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00208-007-0093-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2039617779</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s00208-007-0093-3-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Perera, Francesc</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Recasting the Elliott conjecture</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2007</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag 2007</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Let A be a simple, unital, finite, and exact $ C^{} $-algebra which absorbs the Jiang–Su algebra $${\mathcal{Z}}$$ tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomorphism, and prove the conjecture in several cases. In these same cases—$${\mathcal{Z}}$$ -stable algebras all—we prove that the Elliott conjecture in its strongest form is equivalent to a conjecture which appears much weaker. Outside the class of $${\mathcal{Z}}$$ -stable $ C^{} $-algebras, this weaker conjecture has no known counterexamples, and it is plausible that none exist. Thus, we reconcile the still intact principle of Elliott’s classification conjecture—that $${\mathrm{K}}$$ -theoretic invariants will classify separable and nuclear $ C^{*} $-algebras—with the recent appearance of counterexamples to its strongest concrete form.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dimension Function</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Positive Element</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Compact Hausdorff Space</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stable Rank</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Real Rank</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Toms, Andrew S.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Mathematische Annalen</subfield><subfield code="d">Springer-Verlag, 1869</subfield><subfield code="g">338(2007), 3 vom: 24. Feb., Seite 669-702</subfield><subfield code="w">(DE-627)129060151</subfield><subfield code="w">(DE-600)285-9</subfield><subfield code="w">(DE-576)014390825</subfield><subfield code="x">0025-5831</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:338</subfield><subfield code="g">year:2007</subfield><subfield code="g">number:3</subfield><subfield code="g">day:24</subfield><subfield code="g">month:02</subfield><subfield code="g">pages:669-702</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s00208-007-0093-3</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-FOR</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_11</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_21</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_22</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_24</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_30</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_31</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_62</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_65</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_120</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2002</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2004</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2006</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2007</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2009</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2012</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2018</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2030</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2088</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_2409</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4027</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4036</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4125</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4126</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4266</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4277</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4305</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4306</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4317</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4318</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4319</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.00</subfield><subfield code="j">Mathematik: Allgemeines</subfield><subfield code="j">Mathematik: Allgemeines</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">338</subfield><subfield code="j">2007</subfield><subfield code="e">3</subfield><subfield code="b">24</subfield><subfield code="c">02</subfield><subfield code="h">669-702</subfield></datafield></record></collection>
score	7.4013395

Nicht das Richtige dabei?

Schreiben Sie uns!

Recasting the Elliott conjecture

Nicht das Richtige dabei?

Zugang & Verfügbarkeit

Vorhandene Bände

Nicht das Richtige dabei?