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REPRESENTATIONS AND K-THEORY OF DISCRETE GROUPS

By Alejandro Adem

Abstract

Let T be a discrete group of finite virtual cohomological dimension with certain finiteness conditions of the type satisfied by arithmetic groups. We define a representation ring for T, determined on its elements of finite order, which is of finite type. Then we determine the contribution of this ring to the topological ^-theory K*(BT), obtaining an exact formula for the difference in terms of the cohomology of the centralizers of elements of finite order in r

Year: 1993
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.7601
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