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- Author: Joachim Cuntz
- Publisher: Birkhäuser
- Year: 2007
- Pages: 262
- ISBN-10: 3764383984
- ISBN-13: 9783764383985
- Format: 16.8 x 23.6 x 2.3 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
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Description
Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, it details other approaches to bivariant K-theories for operator algebras. The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
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- Author: Joachim Cuntz
- Publisher: Birkhäuser
- Year: 2007
- Pages: 262
- ISBN-10: 3764383984
- ISBN-13: 9783764383985
- Format: 16.8 x 23.6 x 2.3 cm, minkšti viršeliai
- Language: English English
Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, it details other approaches to bivariant K-theories for operator algebras. The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
Reviews