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arxiv: 1501.00135 · v6 · pith:23MISK3Jnew · submitted 2014-12-31 · 🧮 math.OA

Classification of finite simple amenable {cal Z}-stable C^*-algebras

Guihua Gong , Huaxin Lin , Zhuang Niu This is my paper
classification 🧮 math.OA
keywords simplealgebrasamenablefiniteseparablestableunitalclass
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We present a classification theorem for a class of unital simple separable amenable ${\cal Z}$-stable $C^*$-algebras by the Elliott invariant. This class of simple $C^*$-algebras exhausts all possible Elliott invariant for unital stably finite simple separable amenable ${\cal Z}$-stable $C^*$-algebras. Moreover, it contains all unital simple separable amenable $C^*$-alegbras which satisfy the UCT and have finite rational tracial rank.

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