Strict comparison and stable rank one
Operator Algebras
2024-02-21 v2
Abstract
Let be a -unital finite simple -algebra which has strict comparison property. We show that if the canonical map from the Cuntz semigroup to certain lower semi-continuous affine functions is surjective, then has tracial approximate oscillation zero and stable rank one. Equivalently, if has an almost unperforated and almost divisible Cuntz semigroup, then has stable rank one and tracial approximate oscillation zero.
Keywords
Cite
@article{arxiv.2301.09250,
title = {Strict comparison and stable rank one},
author = {Huaxin Lin},
journal= {arXiv preprint arXiv:2301.09250},
year = {2024}
}
Comments
revision, removing some typos