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

Guihua Gong; Huaxin Lin

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

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arxiv 2112.14003 v1 pith:ANPZDJA2 submitted 2021-12-28 math.OA

Guihua Gong , Huaxin Lin This is my paper · ORCID

classification math.OA

keywords algebrasamenableprojectionlesssimplestablyclassificationelliottinvariant

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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.

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