Homotopy Theory of C*-Algebras
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 suitab...
Enregistré dans:
| Hovedforfatter: | |
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| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2010. |
| Serier: | Frontiers in Mathematics
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| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Homotopy theory of C*-Algebras, Paul Arne éstvær, Basel, Birkhäuser, 2010, 1 vol. (139 p.), Frontiers in mathematics, 978-3-0346-0564-9 • Homotopy Theory of C*-Algebras, Texte imprimé, 9783034605663 |
Indholdsfortegnelse:
- 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.