Sofic equivalence relations
Functional Analysis
2009-06-22 v1 Combinatorics
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\"uck, Sauer and Wegner hold for treeable equivalence relations.
Keywords
Cite
@article{arxiv.0906.3619,
title = {Sofic equivalence relations},
author = {Gábor Elek and Gábor Lippner},
journal= {arXiv preprint arXiv:0906.3619},
year = {2009}
}
Comments
18 pages