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On
classification of nonunital amenable simple C*-algebras, IV:
Stably projectionless C*-algebras
Guihua Gong and Huaxin Lin |
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Vol. 9 (2024), No. 2, 143–339
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Abstract |
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We show that two separable simple stably projectionless amenable -stable -algebras which satisfy the UCT (the universal coefficient theorem) are isomorphic if and only if they have the same Elliott invariant. We also present a unified isomorphism theorem for the class of finite separable simple amenable -stable -algebras which satisfy the UCT. |
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Keywords
classification of simple C*-algebras, stably projectionless
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Mathematical Subject Classification
Primary: 46L35
Secondary: 46L80
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Milestones
Received: 25 September 2023
Revised: 23 April 2024
Accepted: 13 May 2024
Published: 18 August 2024
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Authors |
| Guihua Gong | |
| Department of Mathematics University of Puerto Rico San Juan Puerto Rico |
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| Huaxin Lin | |
| Shanghai Institute for Mathematics
and Interdisciplinary Sciences Shanghai China |
Department of Mathematics University of Oregon Eugene, OR United States |
| © 2024 MSP (Mathematical Sciences Publishers). |
