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CLASSIFYING SPACES WITH VIRTUALLY CYCLIC STABILIZERS FOR LINEAR GROUPS

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Abstract

We show that every discrete subgroup of GL(n, ℝ) admits a finite-dimensional classifying space with virtually cyclic stabilizers. Applying our methods to SL(3, ℤ), we obtain a four-dimensional classifying space with virtually cyclic stabilizers and a decomposition of the algebraic K-theory of its group ring.

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Authors and Affiliations

  1. Department of Mathematics, University of Copenhagen, Copenhagen, Denmark

    D. DEGRIJSE

  2. Department of Mathematics, Justus Liebig University Giessen, Giessen, Germany

    R. KÖHL

  3. Department of Mathematics, University of Southampton, Southampton, UK

    N. PETROSYAN

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  1. D. DEGRIJSE
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  2. R. KÖHL
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  3. N. PETROSYAN
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Correspondence to N. PETROSYAN.

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*Supported by the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92).

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DEGRIJSE, D., KÖHL, R. & PETROSYAN, N. CLASSIFYING SPACES WITH VIRTUALLY CYCLIC STABILIZERS FOR LINEAR GROUPS. Transformation Groups 20, 381–394 (2015). https://doi.org/10.1007/s00031-015-9307-z

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