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...
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| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2010. |
| Edice: | Frontiers in Mathematics
|
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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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 |
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| 100 | 1 | |a Østvær, Paul Arne, |d 1973- | |
| 245 | 1 | 0 | |a Homotopy Theory of C*-Algebras |c by Paul Arne Østvær. |
| 250 | |a 1st ed. 2010. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Frontiers in Mathematics |x 1660-8054 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Homotopie | ||
| 650 | |a C*-algèbres | ||
| 776 | 0 | |0 148258530 |t Homotopy theory of C*-Algebras |f Paul Arne éstvær |c Basel |n Birkhäuser |d 2010 |p 1 vol. (139 p.) |s Frontiers in mathematics |z 978-3-0346-0564-9 | |
| 776 | 0 | |t Homotopy Theory of C*-Algebras |b Texte imprimé |z 9783034605663 | |
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