Equivariant covers for hyperbolic groups

Bartels, Arthur C¹ ; Lück, Wolfgang¹ ; Reich, Holger²

¹ Westfälische Wilhelms-Universität Münster, Mathematisches Institut, Einsteinstr. 62, D-48149 Münster, Germany
² Heinrich-Heine-Universität Düsseldorf, Mathematisches Institut, Universitätsstr. 1, D-40225 Düsseldorf, Germany

Geometry & topology, Tome 12 (2008) no. 3, pp. 1799-1882.

Résumé

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 $R$.

Détail

DOI : 10.2140/gt.2008.12.1799

Keywords: equivariant, hyperbolic groups, flow spaces, asymptotic dimension

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