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...

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Bibliographic Details
Main Author: Koichi Oyakawa
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