Amenable purely infinite actions on the non-compact Cantor set
Dynamical Systems
2018-09-05 v3
Abstract
We prove that any countable non-amenable group G admits a free minimal amenable purely infinite action on the non-compact Cantor set. This answers a question of Kellerhals, Monod and R{\o}rdam.
Keywords
Cite
@article{arxiv.1803.01917,
title = {Amenable purely infinite actions on the non-compact Cantor set},
author = {Gabor Elek},
journal= {arXiv preprint arXiv:1803.01917},
year = {2018}
}
Comments
16 pages