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

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 $A\otimes \mathcal{W}$ 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.

arXiv comment46 pages

References in corpus (2)

• Completely positive maps of order zero
• Cuntz semigroups of C*-algebras of stable rank one and projective Hilbert modules

Cited by in corpus (6)

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• Constructing Menger manifold C*-diagonals in classifiable C*-algebras
• Rohlin actions of finite groups on the Razak-Jacelon algebra