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On classification of nonunital amenable simple C*-algebras, IV: Stably projectionless C*-algebras

Guihua Gong and Huaxin Lin

Vol. 9 (2024), No. 2, 143–339
Abstract

We show that two separable simple stably projectionless amenable 𝒵-stable C-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 𝒵-stable C-algebras which satisfy the UCT.

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Keywords
classification of simple C*-algebras, stably projectionless
Mathematical Subject Classification
Primary: 46L35
Secondary: 46L80
Milestones
Received: 25 September 2023
Revised: 23 April 2024
Accepted: 13 May 2024
Published: 18 August 2024
Authors
Guihua Gong
Department of Mathematics
University of Puerto Rico
San Juan
Puerto Rico
Huaxin Lin
Shanghai Institute for Mathematics and Interdisciplinary Sciences
Shanghai
China
Department of Mathematics
University of Oregon
Eugene, OR
United States