2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155878We 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 in algebraic K-theory for every word-hyperbolic group G and every coefficient ring R.final version, to appear in Geometry & TopologyGeometric Topology20F65 (Primary) 20F67, 37D40, 57M07 (Secondary)text