On the weak relative Dixmier property
Operator Algebras
2020-05-27 v1
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.
Keywords
Cite
@article{arxiv.1907.00615,
title = {On the weak relative Dixmier property},
author = {Amine Marrakchi},
journal= {arXiv preprint arXiv:1907.00615},
year = {2020}
}
Comments
4 pages