Elek, Gábor (2015) Full groups and soficity. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 143 (5). pp. 1943-1950. ISSN 0002-9939
|
Text
1211.0621v2.pdf Download (133kB) | Preview |
Official URL: http://dx.doi.org/10.1090/S0002-9939-2014-12403-8
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 |
Actions (login required)
 |
Edit Item |
