Volume 12, issue 3 (2008)

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Equivariant covers for hyperbolic groups

Arthur Bartels, Wolfgang Lück and Holger Reich

Geometry & Topology 12 (2008) 1799–1882
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 ${K}_{\ast }\left(RG\right)$ 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