Topological and Bivariant K-Theory

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 a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cuntz, Joachim (Autor), Rosenberg, Jonathan M. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edición:1st ed. 2007.
Colección:Oberwolfach Seminars, 36
Temas:
K-theory.
Topology.
K-Theory.
Acceso en línea:Texto Completo
Descripción
Sumario: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.
Descripción Física:XII, 262 p. online resource.
ISBN:9783764383992
ISSN:2296-5041 ;

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