%0 Journal Article
%T Classification of finite simple amenable ${\cal Z}$-stable $C^*$-algebras
%A Guihua Gong
%A Huaxin Lin
%A Zhuang Niu
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1501.00135v6