Li, X. (2020) Every classifiable simple C*-algebra has a Cartan subalgebra. Inventiones Mathematicae, 219(2), pp. 653-699. (doi: 10.1007/s00222-019-00914-0)
|
Text
210201.pdf - Published Version Available under License Creative Commons Attribution. 579kB |
Abstract
We construct Cartan subalgebras in all classifiable stably finite C*-algebras. Together with known constructions of Cartan subalgebras in all UCT Kirchberg algebras, this shows that every classifiable simple C*-algebra has a Cartan subalgebra.
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Li, Professor Xin |
Authors: | Li, X. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Inventiones Mathematicae |
Publisher: | Springer |
ISSN: | 0020-9910 |
ISSN (Online): | 1432-1297 |
Published Online: | 16 August 2019 |
Copyright Holders: | Copyright © 2019 The Author |
First Published: | First published in Inventiones Mathematicae 219(2): 653-699 |
Publisher Policy: | Reproduced under a Creative Commons License |
University Staff: Request a correction | Enlighten Editors: Update this record