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.
- ISBN:
- 9783764383985
- 9783764383985
-
Category:
- Algebraic topology
- Format:
- Paperback
- Publication Date:
-
19-07-2007
- Language:
- English
- Publisher:
- Birkhauser Verlag AG
- Country of origin:
- Switzerland
- Pages:
- 262
- Dimensions (mm):
- 242x170x14mm
- Weight:
- 0.49kg
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