Constructions of E_{vc} and E_{fbc} for groups acting on CAT(0) spaces

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Farley, Daniel
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If G is a group acting properly by semisimple isometries on a proper CAT(0) space X, then we build models for the classifying spaces E_{vc} and E_{fbc} under the additional assumption that the action of G has a well-behaved collection of axes in X. (This hypothesis is described in the paper.) We conjecture that the latter hypothesis is satisfied in a large range of cases. Our classifying spaces resemble those created by Connolly, Fehrman, and Hartglass for crystallographic groups G.
Comment: 16 pages, no figures
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Mathematics - Algebraic Topology, 55N15, 18F25
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