Rational Computations of the Topological K-Theory of Classifying Spaces of Discrete Groups

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dc.creatorLueck, Wolfgang
dc.date2005-07-12
dc.date2005-07-15
dc.date.accessioned2026-07-07T05:21:37Z
dc.date.available2026-07-07T05:21:37Z
dc.descriptionWe 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.
dc.description35 pages Added two references and two sentences after Theorem 0.3
dc.identifierhttps://arxiv.org/abs/math/0507237
dc.identifierhttp://arxiv.org/abs/math/0507237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75754
dc.subjectK-Theory and Homology
dc.subjectAlgebraic Topology
dc.subject55N15
dc.titleRational Computations of the Topological K-Theory of Classifying Spaces of Discrete Groups
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