On the weak relative Dixmier property

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.

arXiv comment4 pages

References in corpus (2)

• On a Class of Type II${}_1$ Factors with Betti Numbers Invariants
• Structure of bicentralizer algebras and inclusions of type III factors

Cited by in corpus (1)

• On ergodic embeddings of factors