Weak amenability of free products of hyperbolic and amenable groups

Abstract

We show that, if $G$ is an amenable group and $H$ is a hyperbolic group, then the free product $G\ast H$ is weakly amenable. A key ingredient in the proof is the fact that $G\ast H$ is orbit equivalent to $\mathbb{Z}\ast H$.

Final version. 5 pages. Published in Glasgow Mathematical Journal

References in corpus (1)

• Von Neumann equivalence and properly proximal groups