Sofic equivalence relations

2009/06/19 by Elek, Gábor, Lippner, Gábor · 2 citations
#37A20 #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.0906.3619

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 Lück, Sauer and Wegner hold for treeable equivalence relations.

Cited by

• Minor-excluded graphs and soficity
• Proper cocycles, measure equivalence and L_p-Fourier multipliers

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