On the weak relative Dixmier property.

  title={On the weak relative Dixmier property.},
  author={A. Marrakchi},
  journal={arXiv: Operator Algebras},
  • 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