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    3. Topological and Bivariant K-Theory (Repost)

    Topological and Bivariant K-Theory (Repost)

    Posted By: step778
    Date: 4 Oct 2018 10:17:48
    Topological and Bivariant K-Theory (Repost)

    Joachim Cuntz, Jonathan M. Rosenberg, "Topological and Bivariant K-Theory"
    2007 | pages: 268 | ISBN: 3764383984 | PDF | 1,9 mb

    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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