The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension

2016/11/16 by Elliott, George A., Niu, Zhuang
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1611.05159

Abstract

The class of simple separable KK-contractible (KK-equivalent to \0\) C*-algebras which have finite nuclear dimension is shown to classified by the Elliott invariant. In particular, the class of C*-algebras A⊗ \mathcal W is classifiable, where A is a simple separable C*-algebra with finite nuclear dimension and \mathcal W is the simple inductive limit of Razak algebras with unique trace, which is bounded.

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