Full groups and soficity

First, we answer a question of Giordano and 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 fo...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2015-05, Vol.143 (5), p.1943-1950
Main Author: ELEK, GÁBOR
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:First, we answer a question of Giordano and 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.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2014-12403-8