Nuclear dimension and Z-stability

Simple, separable, unital, monotracial and nuclear C$^*$-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang-Su algebra $\mathcal{Z}$ tensorially. This completes the proof of the Toms-Winter conjecture in the unique trace case.

Bibliographic Details
Main Authors: Sato, Y, White, S, Winter, W
Format: Journal article
Published: Springer Verlag 2015