Full groups and soficity
Group Theory
2012-11-20 v2 Dynamical Systems
Abstract
First, we answer a question of Pestov, by proving that the full group of a sofic equivalence relation is a sofic group. Then, we give a short proof of the theorem of Grigorchuk and Medynets that the topological full group of a minimal Cantor homeomorphism is LEF. Finally, we show that for certain non-amenable groups all the generalized lamplighter groups are sofic.
Keywords
Cite
@article{arxiv.1211.0621,
title = {Full groups and soficity},
author = {Gabor Elek},
journal= {arXiv preprint arXiv:1211.0621},
year = {2012}
}