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Sofic equivalence relations

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Sofic equivalence relations. / Elek, Gábor; Lippner, Gábor.
In: Journal of Functional Analysis, Vol. 258, No. 5, 01.03.2010, p. 1692-1708.

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

Harvard

Elek, G & Lippner, G 2010, 'Sofic equivalence relations', Journal of Functional Analysis, vol. 258, no. 5, pp. 1692-1708. https://doi.org/10.1016/j.jfa.2009.10.013

APA

Elek, G., & Lippner, G. (2010). Sofic equivalence relations. Journal of Functional Analysis, 258(5), 1692-1708. https://doi.org/10.1016/j.jfa.2009.10.013

Vancouver

Elek G, Lippner G. Sofic equivalence relations. Journal of Functional Analysis. 2010 Mar 1;258(5):1692-1708. doi: 10.1016/j.jfa.2009.10.013

Author

Elek, Gábor ; Lippner, Gábor. / Sofic equivalence relations. In: Journal of Functional Analysis. 2010 ; Vol. 258, No. 5. pp. 1692-1708.

Bibtex

@article{f21523fa7da84d26896380ed66dbf7c9,
title = "Sofic equivalence relations",
abstract = "We introduce the notion of sofic measurable equivalence relations. Using them we prove that Connes' Embedding Conjecture as well as the Measurable Determinant Conjecture of L{\"u}ck, Sauer and Wegner hold for treeable equivalence relations.",
keywords = "Measurable equivalence relations, Connes Embedding Cojecture, Sofic groups , von Neumann algebras",
author = "G{\'a}bor Elek and G{\'a}bor Lippner",
year = "2010",
month = mar,
day = "1",
doi = "10.1016/j.jfa.2009.10.013",
language = "English",
volume = "258",
pages = "1692--1708",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press Inc.",
number = "5",

}

RIS

TY - JOUR

T1 - Sofic equivalence relations

AU - Elek, Gábor

AU - Lippner, Gábor

PY - 2010/3/1

Y1 - 2010/3/1

N2 - We introduce the notion of sofic measurable equivalence relations. Using them we prove that Connes' Embedding Conjecture as well as the Measurable Determinant Conjecture of Lück, Sauer and Wegner hold for treeable equivalence relations.

AB - We introduce the notion of sofic measurable equivalence relations. Using them we prove that Connes' Embedding Conjecture as well as the Measurable Determinant Conjecture of Lück, Sauer and Wegner hold for treeable equivalence relations.

KW - Measurable equivalence relations

KW - Connes Embedding Cojecture

KW - Sofic groups

KW - von Neumann algebras

U2 - 10.1016/j.jfa.2009.10.013

DO - 10.1016/j.jfa.2009.10.013

M3 - Journal article

VL - 258

SP - 1692

EP - 1708

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 5

ER -