Topological and Bivariant K-Theory

von Joachim Cuntz, Jonathan M. Rosenberg

262 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Oberwolfach Seminars
• ISBN: 9783764383985
• Sprache: Englisch
• Erscheinungsdatum: 19.07.2007
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Basel