Star order and topologies on von Neumann algebras
Operator Algebras
2018-12-27 v2 Functional Analysis
Abstract
The goal of the paper is to study a topology generated by the star order on von Neumann algebras. In particular, it is proved that the order topology under investigation is finer than -strong* topology. On the other hand, we show that it is comparable with the norm topology if and only if the von Neumann algebra is finite-dimensional.
Cite
@article{arxiv.1712.02089,
title = {Star order and topologies on von Neumann algebras},
author = {Martin Bohata},
journal= {arXiv preprint arXiv:1712.02089},
year = {2018}
}