Holdings: Homotopy theory of C*-algebras

Homotopy theory of C*-algebras:

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Bibliographic Details
Main Author:	Østvær, Paul Arne (Author)
Format:	Book
Language:	English
Published:	Basel Birkhäuser [2010]
Series:	Frontiers in mathematics
Subjects:	Homotopietheorie C-Stern-Algebra
Online Access:	Inhaltsverzeichnis
Physical Description:	139 Seiten
ISBN:	9783034605649 9783034605656

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MARC


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Record in the Search Index

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adam_text	IMAGE 1 CONTENTS 1 INTRODUCTION 2 PRELIMINARIES 2.1 C * -SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 G-C * -SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.3 MODEL CATEGORIES . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3 UNSTABLE C * -HOMOTOPY THEORY 3.1 POINTWISE MODEL STRUCTURES . . . . . . . . . . . . . . . . . . . . . . 25 3.2 EXACT MODEL STRUCTURES . . . . . . . . . . . . . . . . . . . . . . . . 33 3.3 MATRIX INVARIANT MODEL STRUCTURES . . . . . . . . . . . . . . . . . . 43 3.4 HOMOTOPY INVARIANT MODEL STRUCTURES . . . . . . . . . . . . . . . . 47 3.5 POINTED MODEL STRUCTURES . . . . . . . . . . . . . . . . . . . . . . . 59 3.6 BASE CHANGE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 4 STABLE C * -HOMOTOPY THEORY 4.1 C * -SPECTRA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 4.2 BISPECTRA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 4.3 TRIANGULATED STRUCTURE . . . . . . . . . . . . . . . . . . . . . . . . 81 4.4 BROWN REPRESENTABILITY . . . . . . . . . . . . . . . . . . . . . . . . 86 4.5 C * -SYMMETRIC SPECTRA . . . . . . . . . . . . . . . . . . . . . . . . 86 4.6 C * -FUNCTORS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 5 INVARIANTS 5.1 COHOMOLOGY AND HOMOLOGY THEORIES . . . . . . . . . . . . . . . . . 107 5.2 KK-THEORY AND THE EILENBERG-MACLANE SPECTRUM . . . . . . . . . 108 5.3 HL-THEORY AND THE EILENBERG-MACLANE SPECTRUM . . . . . . . . . 111 5.4 THE CHERN-CONNES-KAROUBI CHARACTER . . . . . . . . . . . . . . . . 112 5.5 K -THEORY OF C * -ALGEBRAS . . . . . . . . . . . . . . . . . . . . . . . 113 5.6 ZETA FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 121 6 THE SLICE FILTRATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 BIBLIOGRAPHY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
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author	Østvær, Paul Arne
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id	DE-604.BV036692149
illustrated	Not Illustrated
indexdate	2024-07-09T22:45:53Z
institution	BVB
isbn	9783034605649 9783034605656
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-020610765
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physical	139 Seiten
publishDate	2010
publishDateSearch	2010
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publisher	Birkhäuser
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series2	Frontiers in mathematics
spelling	Østvær, Paul Arne (DE-588)1245301721 aut Homotopy theory of C*-algebras Paul Arne Østvær Basel Birkhäuser [2010] © 2010 139 Seiten txt rdacontent n rdamedia nc rdacarrier Frontiers in mathematics Homotopietheorie (DE-588)4128142-1 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s Homotopietheorie (DE-588)4128142-1 s DE-604 Erscheint auch als Online-Ausgabe 978-3-0346-0565-6 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020610765&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Østvær, Paul Arne Homotopy theory of C*-algebras Homotopietheorie (DE-588)4128142-1 gnd C-Stern-Algebra (DE-588)4136693-1 gnd
subject_GND	(DE-588)4128142-1 (DE-588)4136693-1
title	Homotopy theory of C*-algebras
title_auth	Homotopy theory of C*-algebras
title_exact_search	Homotopy theory of C*-algebras
title_full	Homotopy theory of C*-algebras Paul Arne Østvær
title_fullStr	Homotopy theory of C*-algebras Paul Arne Østvær
title_full_unstemmed	Homotopy theory of C*-algebras Paul Arne Østvær
title_short	Homotopy theory of C*-algebras
title_sort	homotopy theory of c algebras
topic	Homotopietheorie (DE-588)4128142-1 gnd C-Stern-Algebra (DE-588)4136693-1 gnd
topic_facet	Homotopietheorie C-Stern-Algebra
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020610765&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT østværpaularne homotopytheoryofcalgebras

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