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arXiv · 1507.07876

On the classification of simple amenable C*-algebras with finite decomposition rank

George A. Elliott·Zhuang Niu
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Abstract

Let $A$ be a unital simple separable C*-algebra satisfying the UCT. Assume that $\mathrm{dr}(A)<+\infty$, $A$ is Jiang-Su stable, and $\mathrm{K}_0(A)\otimes \mathbb{Q}\cong \mathbb{Q}$. Then $A$ is an ASH algebra (indeed, $A$ is a rationally AH algebra).

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BibTeXRIS

George A. Elliott, Zhuang Niu. 2016-02-02. On the classification of simple amenable C*-algebras with finite decomposition rank. https://arxiv.org/abs/1507.07876

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