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

By G. Elliott, G. Gong, Huaxin Lin, Z. Niu. Journal of Geometry and Physics, 2016

62 citations recorded by the source corpus.

The class of simple separable KK-contractible (KK-equivalent to $\{0\}$) C*-algebras which have finite nuclear dimension is shown to be classified by the Elliott invariant. In particular, the class of C*-algebras $A\otimes \mathcal W$ 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.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6725c9f9b35782775f7c4798d40b43b8250ce23d