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 Lück, Sauer and Wegner hold for treeable equivalence relations.

18 pages

References in corpus (2)

• An analogue of the Szemeredi Regularity Lemma for bounded degree graphs
• Parameter testing with bounded degree graphs of subexponential growth

Cited by in corpus (1)

• An l^{p}-Version of von Neumann Dimension for Representations of Equivalence Relations