Algebraic K-theory of Geometric Groups

Published 15 May 2013 in math.AT, math.GT, and math.KT | (1305.3349v3)

Abstract: Let $\Gamma$ be a geometrically finite group of finite asymptotic dimension and let $R$ be a noetherian ring of finite homological dimension. The main result of the paper is that the integral K-theoretic assembly map for the group ring $R[\Gamma]$ is an isomorphism. We also include partial results for larger classes of geometric groups.

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