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

The class of simple separable KK-contractible (KK-equivalent to {0}) C*-algebra s which have finite nuclear dimension is shown to be classified by the Elliott invariant. In particular, the class of C*-algebra s A⊗W is classifiable, where A is a simple separable C*-algebra with finite nuclear dimensi...

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Bibliographic Details
Published in:Journal of geometry and physics 2020-12, Vol.158, p.103861, Article 103861
Main Authors: Elliott, George A., Gong, Guihua, Lin, Huaxin, Niu, Zhuang
Format: Article
Language:English
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Summary:The class of simple separable KK-contractible (KK-equivalent to {0}) C*-algebra s which have finite nuclear dimension is shown to be classified by the Elliott invariant. In particular, the class of C*-algebra s A⊗W is classifiable, where A is a simple separable C*-algebra with finite nuclear dimension and W is the simple inductive limit of Razak algebras with unique trace, which is bounded (see Razak (2002) and Jacelon (2013)).
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2020.103861