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Article contents
Weak amenability of free products of hyperbolic and amenable groups
Published online by Cambridge University Press: 06 January 2022
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
$\mathbb{Z}\ast H$
.
MSC classification
- Type
- Research Article
- Information
- Copyright
- © The Author(s), 2022. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust
References
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