Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups
Group Theory
2023-06-06 v1 Dynamical Systems
Logic
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.
Keywords
Cite
@article{arxiv.2306.02056,
title = {Hyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups},
author = {Petr Naryshkin and Andrea Vaccaro},
journal= {arXiv preprint arXiv:2306.02056},
year = {2023}
}
Comments
10 pages, comments welcome