# On the weak relative Dixmier property.

@article{Marrakchi2019OnTW,
title={On the weak relative Dixmier property.},
author={A. Marrakchi},
journal={arXiv: Operator Algebras},
year={2019}
}
• A. Marrakchi
• Published 2019
• Mathematics
• arXiv: Operator Algebras
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.
2 Citations

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