REAL

Full groups and soficity

Elek, Gábor (2015) Full groups and soficity. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 143 (5). pp. 1943-1950. ISSN 0002-9939

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Abstract

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. © 2014 American Mathematical Society.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 17 Feb 2016 09:56
Last Modified: 17 Feb 2016 09:56
URI: http://real.mtak.hu/id/eprint/33615

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