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_*(RG) for every word-hyperbolic group G and every coefficient ring R.

Keywords

equivariant, hyperbolic groups, flow spaces, asymptotic dimension

Mathematical Subject Classification

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