Rational Computations of the Topological K-Theory of Classifying Spaces of Discrete Groups
Abstract
Description
We compute rationally the topological (complex) K-theory of the classifying space BG of a discrete group provided that G has a cocompact G-CW-model for its classifying space for proper G-actions. For instance word-hyperbolic groups and cocompact discrete subgroups of connected Lie groups satisfy this assumption. The answer is given in terms of the group cohomology of G and of the centralizers of finite cyclic subgroups of prime power order. We also analyze the multiplicative structure.
35 pages Added two references and two sentences after Theorem 0.3
35 pages Added two references and two sentences after Theorem 0.3