Representations and $K$-theory of discrete groups
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- by Alejandro Adem PDF
- Bull. Amer. Math. Soc. 28 (1993), 95-98 Request permission
Abstract:
Let $\Gamma$ 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 $\Gamma$, determined on its elements of finite order, which is of finite type. Then we determine the contribution of this ring to the topological K-theory $K^{\ast }(B\Gamma )$, obtaining an exact formula for the difference in terms of the cohomology of the centralizers of elements of finite order in $\Gamma$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 28 (1993), 95-98
- MSC: Primary 55R35; Secondary 19L99, 20C99
- DOI: https://doi.org/10.1090/S0273-0979-1993-00347-1
- MathSciNet review: 1168513