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arXiv:2110.09289 [math.GR]AbstractReferencesReviewsResources

Weak amenability of free products of hyperbolic and amenable groups

Ignacio Vergara

Published 2021-10-14, updated 2022-07-06Version 3

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 $\mathbb{Z}\ast H$.

Comments: Final version. 5 pages. Published in Glasgow Mathematical Journal
Categories: math.GR, math.DS, math.OA
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