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. 
Yasuhiko Sato, Stuart White and Wilhelm Winter
math.OA