K-Theory for Group C*-Algebras and Semigroup C*-Algebras
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Beschreibung
This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. They are important for applications in fields as diverse as the theory of unitary group representations, index theory, the topology of manifolds or ergodic theory of group actions.
This book introduces the reader to the necessary technical background to study C*-algebras arising from actions of groups or semigroups
The text focuses on recent examples and techniques developed in K-Theory
It contains an introduction to Baum-Connes methods as well as a concise description of the Mackey-Rieffel-Green machine for crossed productsMuch of the material is available here for the first time in book form
This book introduces the reader to the necessary technical background to study C*-algebras arising from actions of groups or semigroups The text focuses on recent examples and techniques developed in K-Theory It contains an introduction to Baum-Connes methods as well as a concise description of the Mackey-Rieffel-Green machine for crossed products Much of the material is available here for the first time in book form
Autor*in
Joachim Cuntz
Themen in »K-Theory for Group C*-Algebras and Semigroup C*-Algebras«
C*-algebras group C*-algebras semigroup-C*-algebras crossed products K-theory KK-theory bivariant K-theory Baum-Connes conjecture