Vol. 174, No. 2, 1996

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KK-groups of twisted crossed products by groups acting on trees

Kevin Paul McClanahan

Vol. 174 (1996), No. 2, 471–495
Abstract

An exact sequence of Pimsner for KK-groups of crossed products of C-algebras by locally compact groups acting on trees is generalized to the case of crossed products twisted by a circle-valued cocycle. The exact sequence is applied to the case of free products of twisted group C-algebras. In particular, the K-groups of the free product of two matrix algebras is computed.

Mathematical Subject Classification 2000
Primary: 46L80
Secondary: 19K99, 46L05, 46L55, 57M07
Milestones
Received: 26 December 1993
Published: 1 June 1996
Authors
Kevin Paul McClanahan
Department of Mathematics
University of Mississippi
MS 38677
United States