Homotopy Theory of C\*-Algebras

Paul Arne Østvær

ISBN 10: 3034605641 / ISBN 13: 9783034605649

Editore: Springer Basel Sep 2010, 2010

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This item is printed on demand - it takes 3-4 days longer - Neuware -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. 148 pp. Englisch.

Codice articolo 9783034605649

Dati bibliografici

• Titolo: Homotopy Theory of C\*-Algebras
• Editore: Springer Basel Sep 2010
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3034605641
• ISBN 13: 9783034605649
• Rilegatura: Taschenbuch
• Condizione: Neu

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Riassunto

Homotopy theory and C* algebras are central to contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras that uses the concept of merging C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces.

Dalla quarta di copertina

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.