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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Bibliographic Details
Main Author: Østvær, Paul Arne, 1973-
Format: Livre numérique
Language:Anglais
Published: Basel : Springer Basel [20..].
Cham : Springer Nature
Edition:1st ed. 2010.
Series:Frontiers in Mathematics
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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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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.
Item Description:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783034605656
ISSN:1660-8054
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