The Resource Homotopy theory of C*-algebras, Paul Arne Østvær, (electronic resource)

Homotopy theory of C*-algebras, Paul Arne Østvær, (electronic resource)

Label
Homotopy theory of C*-algebras
Title
Homotopy theory of C*-algebras
Statement of responsibility
Paul Arne Østvær
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
Homotopy theory and C*-algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading to unstable and stable model structures. With the foundations in place one is led to natural definitions of invariants for C*-spaces such as homology and cohomology theories, K-theory and zeta-functions. The text is largely self-contained. It serves a wide audience of graduate students and researchers interested in C*-algebras, homotopy theory and applications
Member of
Is Subseries of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Østvær, Paul Arne
Dewey number
514.24
Illustrations
illustrations
Index
no index present
Language note
English
LC call number
QA326
LC item number
.O88 2010
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Frontiers in mathematics
http://library.link/vocab/subjectName
  • C*-algebras
  • Homotopy theory
Label
Homotopy theory of C*-algebras, Paul Arne Østvær, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
1 Introduction -- 2 Preliminaries -- 2.1 C*-spaces -- 2.2 G – C*-spaces -- 2.3 Model categories -- 3 Unstable C*-homotopy theory -- 3.1 Pointwise model structures -- 3.2 Exact model structures -- 3.3 Matrix invariant model structures -- 3.4 Homotopy invariant model structures -- 3.5 Pointed model structures -- 3.6 Base change -- 4 Stable C*-homotopy theory -- 4.1 C*-spectra -- 4.2 Bispectra -- 4.3 Triangulated structure -- 4.4 Brown representability -- 4.5 C*-symmetric spectra -- 4.6 C*-functors -- 5 Invariants -- 5.1 Cohomology and homology theories -- 5.2 KK-theory and the Eilenberg-MacLane spectrum -- 5.3 HL-theory and the Eilenberg-MacLane -- 5.4 The Chern-Connes-Karoubi character -- 5.5 K-theory of C*-algebras -- 5.6 Zeta functions -- 6 The slice filtration -- References -- Index
Dimensions
unknown
Extent
1 online resource (141 p.)
Form of item
online
Isbn
9786612982712
Media category
computer
Media type code
c
Other control number
10.1007/978-3-0346-0565-6
Specific material designation
remote
System control number
  • (CKB)2670000000045322
  • (EBL)646366
  • (OCoLC)676698706
  • (SSID)ssj0000449633
  • (PQKBManifestationID)11270379
  • (PQKBTitleCode)TC0000449633
  • (PQKBWorkID)10429075
  • (PQKB)10032131
  • (DE-He213)978-3-0346-0565-6
  • (MiAaPQ)EBC646366
  • (EXLCZ)992670000000045322
Label
Homotopy theory of C*-algebras, Paul Arne Østvær, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
1 Introduction -- 2 Preliminaries -- 2.1 C*-spaces -- 2.2 G – C*-spaces -- 2.3 Model categories -- 3 Unstable C*-homotopy theory -- 3.1 Pointwise model structures -- 3.2 Exact model structures -- 3.3 Matrix invariant model structures -- 3.4 Homotopy invariant model structures -- 3.5 Pointed model structures -- 3.6 Base change -- 4 Stable C*-homotopy theory -- 4.1 C*-spectra -- 4.2 Bispectra -- 4.3 Triangulated structure -- 4.4 Brown representability -- 4.5 C*-symmetric spectra -- 4.6 C*-functors -- 5 Invariants -- 5.1 Cohomology and homology theories -- 5.2 KK-theory and the Eilenberg-MacLane spectrum -- 5.3 HL-theory and the Eilenberg-MacLane -- 5.4 The Chern-Connes-Karoubi character -- 5.5 K-theory of C*-algebras -- 5.6 Zeta functions -- 6 The slice filtration -- References -- Index
Dimensions
unknown
Extent
1 online resource (141 p.)
Form of item
online
Isbn
9786612982712
Media category
computer
Media type code
c
Other control number
10.1007/978-3-0346-0565-6
Specific material designation
remote
System control number
  • (CKB)2670000000045322
  • (EBL)646366
  • (OCoLC)676698706
  • (SSID)ssj0000449633
  • (PQKBManifestationID)11270379
  • (PQKBTitleCode)TC0000449633
  • (PQKBWorkID)10429075
  • (PQKB)10032131
  • (DE-He213)978-3-0346-0565-6
  • (MiAaPQ)EBC646366
  • (EXLCZ)992670000000045322

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