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)
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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 |
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| 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 |
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