An edition of Topological and bivariant K-theory
(2007)
Topological and Bivariant K-Theory (Oberwolfach Seminars)
1 edition
by Joachim Cuntz, Ralf Meyer, and Jonathan M. Rosenberg
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Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study 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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Topological and Bivariant K-Theory (Oberwolfach Seminars)
September 14, 2007, Birkhäuser Basel, Birkhauser
Paperback
in English
- 1 edition
3764383984 9783764383985
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