Decomposable approximations and approximately finite dimensional C*-algebras

Abstract

Nuclear $C^{\ast }$-algebras having a system of completely positive approximations formed with convex combinations of a uniformly bounded number of order zero summands are shown to be approximately finite dimensional.

Final accepted version. Math. Proc. Cambridge Philos. Soc., to appear

References in corpus (5)

• Completely positive maps of order zero
• Nuclear dimension and Z-stability
• The nuclear dimension of C*-algebras
• Nuclear dimension and n-comparison
• Decomposition rank and Z-stability

Cited by in corpus (2)

• Nuclear dimension of simple stably projectionless C*-algebras
• Decomposable approximations revisited