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Full groups and soficity

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>2015
<mark>Journal</mark>Proceedings of the American Mathematical Society
Issue number5
Volume143
Number of pages8
Pages (from-to)1943-1950
Publication statusPublished
Early online date9/12/14
Original languageEnglish

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.