Selfless W$^*$-probability spaces and Connes' bicentralizer problem
Operator Algebras
2026-05-04 v2
Abstract
We introduce the notion of selfless W-probability space and study its connection with Connes' bicentralizer problem. In particular, we show that if is a separable type factor with trivial bicentralizer, then is selfless for every faithful normal state .
Cite
@article{arxiv.2511.11409,
title = {Selfless W$^*$-probability spaces and Connes' bicentralizer problem},
author = {Cyril Houdayer and Amine Marrakchi},
journal= {arXiv preprint arXiv:2511.11409},
year = {2026}
}
Comments
5 pages. To appear in J. Math. Soc. Japan