Nuclear dimension and Z-stability
classification
🧮 math.OA
keywords
nucleardimensionabsorbalgebraalgebrascasecompletesconjecture
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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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