Equivariant covers for hyperbolic groups

2006/09/25 by Bartels, Arthur, Lueck, Wolfgang, Reich, Holger
#20F65 (Primary) 20F67 #37D40 #57M07 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.math/0609685

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 in algebraic K-theory for every word-hyperbolic group G and every coefficient ring R.

Related

• Equivariant Refinements
• Boundaries of hyperbolic groups
• Constructing equivariant maps for representations
• Asymptotic dimension of relatively hyperbolic groups
• Big Tiles in Hyperbolic Groups