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 for every word-hyperbolic group and every coefficient ring .
"Equivariant covers for hyperbolic groups." Geom. Topol. 12 (3) 1799 - 1882, 2008. https://doi.org/10.2140/gt.2008.12.1799