Zobrazeno 1 - 10
of 257
pro vyhledávání: '"Elek, G."'
We construct an analogue of Neumann's affiliated algebras for sofic group algebras over arbitrary fields. Consequently, we settle Kaplansky's direct finiteness conjecture for sofic groups.
Comment: 9 pages, a shortened proof of the main result
Comment: 9 pages, a shortened proof of the main result
Externí odkaz:
http://arxiv.org/abs/math/0305440
Answering some queries of Weiss, we prove that the free product and amenable extensions of sofic groups are sofic as well, and give an example of a finitely generated sofic group that is not residually amenable.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/math/0305352
Akademický článek
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Autor:
Elek, G��bor
Almost forty years ago, Connes, Feldman and Weiss proved that for measurable equivalence relations the notions of amenability and hyperfiniteness coincide. In this paper we define the uniform version of amenability and hyperfiniteness for measurable
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ce3c721f52058dc19110a89c5bda9da
Autor:
Elek, G��bor, Tardos, G��bor
Motivated by the work of Lov��sz and Szegedy on the convergence and limits of dense graph sequences, we investigate the convergence and limits of finite trees with respect to sampling in normalized distance. Based on separable real trees, we intr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6e38dc8c672ecf87b81880de134a6eb
Akademický článek
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Autor:
Elek, G��bor
Recently, Goldreich introduced the notion of property testing of bounded-degree graphs with an unknown distribution. We propose a slight modification of his idea: the Radon-Nikodym Oracles. Using these oracles any reasonable graph property can be tes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::241fe1e6b7fd9296cd8b9ea614e49c39
Autor:
Elek, G��bor
In this short note we answer a query of Brodzki, Niblo, ��pakula, Willett and Wright by showing that all bounded degree uniformly locally amenable graphs have Property A. For the second result of the note recall that Kaiser proved that if $��
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd6e9c10861e666fe3abc7dc870351de
Autor:
Elek, G��bor
We prove that for any countable group G there exists a free minimal continuous action of G on the Cantor set admitting an invariant Borel probability measure.
to appear in Ergodic Theory and Dynamical Systems. arXiv admin note: text overlap with
to appear in Ergodic Theory and Dynamical Systems. arXiv admin note: text overlap with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::654dbec46264677b447373b7a8d8a8c5
Autor:
Elek, G��bor
Using the notion of proper Cantor colorings we prove the following theorem. For any countably infinite group $��$, there exists a free continuous action $��: ��\curvearrowright C$ on the Cantor set, which is universal in the following sen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0843c9a86dadacfa45b6e939be79f3f2