On classification of non-unital amenable simple C*-algebras, III, Stably projectionless C*-algebras

2021/12/28 by Gong, Guihua, Lin, Huaxin
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2112.14003

Abstract

We show, based on previous results, that two separable simple stably projectionless amenable \cal Z-stable C^*-algebras which satisfy the UCT are isomorphic if and only if they have the same Elliott invariant.

Related

• Classification of finite simple amenable \cal Z-stable C^*-algebras
• On classification of simple non-unital amenable C*-algebras, II
• A classification of finite simple amenable Z-stable C*-algebras, II, --C*-algebras with rational generalized tracial rank one
• A classification of finite simple amenable \cal Z-stable C^*-algebras, I: C^*-algebras with generalized tracial rank one
• A review of the Elliott program of classification of simple amenable C*-algebras