Tracial approximate divisibility and stable rank one

Fu X, Li K, Lin H (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Journal of the London Mathematical Society-Second Series London Mathematical Society

DOI: 10.1112/jlms.12654

Abstract

In this paper, we show that every separable simple tracially approximately divisible (Formula presented.) -algebra has strict comparison, and it is either purely infinite or has stable rank one. As a consequence, we show that every (non-unital) finite simple (Formula presented.) -stable (Formula presented.) -algebra has stable rank one.

Authors with CRIS profile

Kang Li Juniorprofessur für Mathematik (Darstellungstheorie und Operatoralgebren)

Involved external institutions

University of Toronto CA Canada (CA) East China Normal University (ECNU) / 华东师范大学 CN China (CN)

How to cite

APA:

Fu, X., Li, K., & Lin, H. (2022). Tracial approximate divisibility and stable rank one. Journal of the London Mathematical Society-Second Series. https://doi.org/10.1112/jlms.12654

MLA:

Fu, Xuanlong, Kang Li, and Huaxin Lin. "Tracial approximate divisibility and stable rank one." Journal of the London Mathematical Society-Second Series (2022).

BibTeX: Download