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.

46 pages

References in corpus (1)

• Completely positive maps of order zero

Cited by in corpus (2)

• Extensions of C*-algebas by a small ideal
• Constructing Menger manifold C*-diagonals in classifiable C*-algebras