On the weak relative Dixmier property
arXiv:1907.00615 · doi:10.1112/plms.12347
Abstract
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.
4 pages