Asymptotic dimension and hyperfiniteness of generic Cantor actions
Logic
2024-09-06 v1 Dynamical Systems
Abstract
We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation. In particular, this holds for free groups, answering a question of Frisch-Kechris-Shinko-Vidny\'anszky.
Cite
@article{arxiv.2409.03078,
title = {Asymptotic dimension and hyperfiniteness of generic Cantor actions},
author = {Sumun Iyer and Forte Shinko},
journal= {arXiv preprint arXiv:2409.03078},
year = {2024}
}
Comments
7 pages