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arXiv · 0902.1355

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

Daniel Farley
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Abstract

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.

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BibTeXRIS

Daniel Farley. 2009-02-09. Constructions of E_{vc} and E_{fbc} for groups acting on CAT(0) spaces. https://doi.org/10.2140/agt.2010.10.2229

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