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arxiv: math/0608451 · v5 · submitted 2006-08-18 · 🧮 math.OA

On Ozawa's Property for Free Group Factors

classification 🧮 math.OA
keywords freegroupozawaamenableatomscommutantdiffusefactor
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We give a new proof of a result of Ozawa showing that if a von Neumann subalgebra $Q$ of a free group factor $L\Bbb F_n, 2\leq n\leq \infty$ has relative commutant diffuse (i.e. without atoms), then $Q$ is amenable.

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