Topological And Bivariant K Theory(1st Edition)
Authors:
Joachim Cuntz ,Jonathan M Rosenberg
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Book details
ISBN: 3764383984, 978-3764383985
Book publisher: Birkhauser
Topological And Bivariant K Theory 1st Edition Summary: 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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