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On the weak relative Dixmier property

We show that every inclusion of von Neumann algebras with a faithful normal conditional expectation has the weak relative Dixmier property. This answers a question of Popa \cite{Po99}. The proof uses an improvement of Ellis' lemma for compact convex semigroup.

preprint2019arXivOpen access
Amine Marrakchi
math.OA
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Amine Marrakchi

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