Every pmp equivalence relation from a locally-finite Borel graph with planar components is sofic, via approximation by treeable coverings using Dunwoody tracks.
[BO] Nathanial Patrick Brown and Narutaka Ozawa
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
A non co-hyperlinear IRS exists on any non-abelian free group, yielding via simplified reduction an equivalence relation whose von Neumann algebra is not Connes embeddable.
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There Is An Equivalence Relation Whose von Neumann Algebra Is Not Connes Embeddable
A non co-hyperlinear IRS exists on any non-abelian free group, yielding via simplified reduction an equivalence relation whose von Neumann algebra is not Connes embeddable.