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Nuclear dimension and Z-stability (1403.0747v2)
Published 4 Mar 2014 in math.OA
Abstract: 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.