On the topological full group of a minimal Cantor Z^2-system
Dynamical Systems
2013-09-26 v2 Group Theory
Abstract
Grigorchuk and Medynets recently announced that the topological full group of a minimal Cantor Z-action is amenable. They asked whether the statement holds for all minimal Cantor actions of general amenable groups as well. We answer in the negative by producing a minimal Cantor Z^2-action for which the topological full group contains a non-abelian free group.
Keywords
Cite
@article{arxiv.1201.0257,
title = {On the topological full group of a minimal Cantor Z^2-system},
author = {Gabor Elek and Nicolas Monod},
journal= {arXiv preprint arXiv:1201.0257},
year = {2013}
}
Comments
3 pages (some comments added)