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By Alejandro Adem


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
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