Duality in equivariant KK-theory

Klaus Thomsen

Vol. 222 (2005), No. 2, 365–397

DOI: 10.2140/pjm.2005.222.365

Abstract

Let A and B be separable C^∗-algebras with actions of a locally compact second countable group by automorphisms. We construct a C^∗-algebra, 𝒜_π, such that the equivariant KK-groups, KK_G^∗(A,B), of Kasparov is isomorphic to the K-theory groups of 𝒜_π.

Keywords

equivariant KK − theory, C^∗-algebras

Mathematical Subject Classification 2000

Primary: 19K35

Milestones

Received: 4 March 2004

Revised: 18 March 2005

Accepted: 1 April 2005

Published: 1 December 2005