Gabe, J. (2020) A new proof of Kirchberg's O2-stable classification. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2020(761), pp. 247-289. (doi: 10.1515/crelle-2018-0010)
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Abstract
I present a new proof of Kirchberg’s O 2 -stable classification theorem: two separable, nuclear, stable/unital, O 2 -stable C ∗ -algebras are isomorphic if and only if their ideal lattices are order isomorphic, or equivalently, their primitive ideal spaces are homeomorphic. Many intermediate results do not depend on pure infiniteness of any sort.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Gabe, Dr Jamie |
| Authors: | Gabe, J. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics |
| Journal Name: | Journal für die Reine und Angewandte Mathematik (Crelles Journal) |
| Publisher: | De Gruyter |
| ISSN: | 0075-4102 |
| ISSN (Online): | 1435-5345 |
| Published Online: | 16 May 2018 |
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