Equivariant covers for hyperbolic groups

Bartels, Arthur C; Lück, Wolfgang; Reich, Holger

doi:10.2140/gt.2008.12.1799

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Equivariant covers for hyperbolic groups

Arthur Bartels, Wolfgang Lück and Holger Reich

Geometry & Topology 12 (2008) 1799–1882

DOI: 10.2140/gt.2008.12.1799

Abstract

We prove an equivariant version of the fact that word-hyperbolic groups have finite asymptotic dimension. This is important in connection with our forthcoming proof of the Farrell–Jones conjecture for $K_{*} (R G)$ for every word-hyperbolic group $G$ and every coefficient ring $R$ .

Keywords

equivariant, hyperbolic groups, flow spaces, asymptotic dimension

Mathematical Subject Classification 2000

Primary: 20F65, 20F67

Secondary: 37D40, 57M07

References

Publication

Received: 28 September 2006

Accepted: 7 February 2008

Published: 4 July 2008

Proposed: Martin Bridson

Seconded: Steve Ferry, Ralph Cohen

Authors

Arthur Bartels
Westfälische Wilhelms-Universität Münster Mathematisches Institut Einsteinstr. 62, D-48149 Münster, Germany
http://www.math.uni-muenster.de/u/bartelsa/bartels
Wolfgang Lück
Westfälische Wilhelms-Universität Münster Mathematisches Institut Einsteinstr. 62, D-48149 Münster, Germany
http://www.math.uni-muenster.de/u/lueck
Holger Reich
Heinrich-Heine-Universität Düsseldorf Mathematisches Institut Universitätsstr. 1, D-40225 Düsseldorf, Germany
http://reh.math.uni-duesseldorf.de/\%7Ereich/

Volume 12, issue 3 (2008)