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Homotopy theory of C*-Algebras / by Paul Arne Ostvaer
- 作者: Ostvaer, Paul Arne.
- 其他作者:
- 其他題名:
- Springer eBooks
- 出版: Basel : Springer Basel AG 2010
- 叢書名: Frontiers in mathematics ,
- 主題: Homotopy theory. , C*-algebras. , Mathematics. , Algebraic topology. , Functional analysis.
- ISBN: 9783034605656 (electronic bk.) 、 9783034605649 (paper)
- URL:
電子書
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讀者標籤:
- 系統號: 005177324 | 機讀編目格式
館藏資訊

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.
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