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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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Publishers). |
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