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Full groups and soficity

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Full groups and soficity. / Elek, Gabor.
In: Proceedings of the American Mathematical Society, Vol. 143, No. 5, 2015, p. 1943-1950.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Elek, G 2015, 'Full groups and soficity', Proceedings of the American Mathematical Society, vol. 143, no. 5, pp. 1943-1950. https://doi.org/10.1090/S0002-9939-2014-12403-8

APA

Elek, G. (2015). Full groups and soficity. Proceedings of the American Mathematical Society, 143(5), 1943-1950. https://doi.org/10.1090/S0002-9939-2014-12403-8

Vancouver

Elek G. Full groups and soficity. Proceedings of the American Mathematical Society. 2015;143(5):1943-1950. Epub 2014 Dec 9. doi: 10.1090/S0002-9939-2014-12403-8

Author

Elek, Gabor. / Full groups and soficity. In: Proceedings of the American Mathematical Society. 2015 ; Vol. 143, No. 5. pp. 1943-1950.

Bibtex

@article{f8b0a13296eb42979c1b0d126c2a4854,
title = "Full groups and soficity",
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.",
author = "Gabor Elek",
year = "2015",
doi = "10.1090/S0002-9939-2014-12403-8",
language = "English",
volume = "143",
pages = "1943--1950",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Full groups and soficity

AU - Elek, Gabor

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

U2 - 10.1090/S0002-9939-2014-12403-8

DO - 10.1090/S0002-9939-2014-12403-8

M3 - Journal article

VL - 143

SP - 1943

EP - 1950

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 5

ER -