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arxiv: 0906.5345 · v1 · pith:4GPOPAKVnew · submitted 2009-06-29 · 🧮 math.OA · math.DS

On a Question of D. Shlyakhtenko

classification 🧮 math.OA math.DS
keywords actionsadmitalgebrasclassconjugacyconstructcountableequivalent
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In this short note we construct two countable, infinite conjugacy class groups which admit free, ergodic, probability measure preserving orbit equivalent actions, but whose group von Neumann algebras are not (stably) isomorphic.

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