Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups

Petr Naryshkin; Andrea Vaccaro

doi:10.1007/s00208-024-03075-5

Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups

Petr Naryshkin, Andrea Vaccaro

Research output: Contribution to journal › Article › peer-review

Abstract

We give a new short proof of the theorem due to Marquis and Sabok, which states that the orbit equivalence relation induced by the action of a finitely generated hyperbolic group on its Gromov boundary is hyperfinite. Our methods permit moreover to show that every such action has finite Borel asymptotic dimension.

Original language	English
Journal	Mathematische Annalen
DOIs	https://doi.org/10.1007/s00208-024-03075-5
State	Accepted/In press - 1 Jan 2025
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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10.1007/s00208-024-03075-5

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Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups

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