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Topological and Bivariant K-Theory
Paperback
Series: Oberwolfach Seminars, Book 36
ISBN13: 9783764383985
Publisher: Springer Nature
Published: Jul 19 2007
Pages: 262
Weight: 1.10
Height: 0.90 Width: 6.60 Depth: 9.30
Language: 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.
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