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arXiv · 1403.0747

Nuclear dimension and Z-stability

Yasuhiko Sato·Stuart White·Wilhelm Winter
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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.

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Yasuhiko Sato, Stuart White, Wilhelm Winter. 2014-03-04. Nuclear dimension and Z-stability. https://doi.org/10.1007/s00222-015-0580-1

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