Topological full groups of line-like minimal group actions are amenable
Group Theory
2021-01-07 v1
Abstract
We consider a finitely generated group acting minimally on a compact space by homeomorphsims, and assume that the Schreier graph of at least one orbit is quasi-isometric to a line. We show that the topological full group of such an action is amenable.
Keywords
Cite
@article{arxiv.2101.02042,
title = {Topological full groups of line-like minimal group actions are amenable},
author = {Nóra Gabriella Szőke},
journal= {arXiv preprint arXiv:2101.02042},
year = {2021}
}
Comments
15 pages