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arXiv · 1506.02308

The classification of simple separable unital locally ASH algebras

George A. Elliott·Guihua Gong·Huaxin Lin·Zhuang Niu
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Abstract

Let $A$ be a simple separable unital locally approximately subhomogeneous C*-algebra (locally ASH algebra). It is shown that $A\otimes Q$ can be tracially approximated by unital Elliott-Thomsen algebras with trivial $\textrm{K}_1$-group, where $Q$ is the universal UHF algebra. In particular, it follows that $A$ is classifiable by the Elliott invariant if $A$ is Jiang-Su stable.

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George A. Elliott, Guihua Gong, Huaxin Lin, Zhuang Niu. 2015-06-07. The classification of simple separable unital locally ASH algebras. https://arxiv.org/abs/1506.02308

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