Hyperfiniteness of boundary actions of acylindrically hyperbolic groups
We prove that, for any countable acylindrically hyperbolic group G, there exists a generating set S of G such that the corresponding Cayley graph $\Gamma (G,S)$ is hyperbolic, $|\partial \Gamma (G,S)|>2$ , the natural action of G on $\Gamma (G,S)$ is acylindrical and the natur...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2024-01-01
|
Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424000240/type/journal_article |