English

Hyperfiniteness of boundary actions of hyperbolic groups

Group Theory 2020-06-09 v2 Logic

Abstract

We prove that for every finitely generated hyperbolic group GG, the action of GG on its Gromov boundary induces a hyperfinite equivalence relation.

Keywords

Cite

@article{arxiv.1907.09928,
  title  = {Hyperfiniteness of boundary actions of hyperbolic groups},
  author = {Timothée Marquis and Marcin Sabok},
  journal= {arXiv preprint arXiv:1907.09928},
  year   = {2020}
}

Comments

22 pages. Final version. To appear in Mathematische Annalen

R2 v1 2026-06-23T10:28:25.374Z