Nuclear dimension and $$\mathcal Z$$ Z -stability
作者： Yasuhiko Sato , Stuart White , Wilhelm Winter
DOI: 10.1007/S00222-015-0580-1
关键词: Unital 、 Stability (probability) 、 Trace (linear algebra) 、 Algebra over a field 、 Dimension (graph theory) 、 Pure mathematics 、 Conjecture 、 Separable space 、 Simple (abstract algebra) 、 Mathematics
摘要: Simple, separable, unital, monotracial and nuclear C$^*$-algebras are shown to have finite dimension whenever they absorb the Jiang-Su algebra $\mathcal{Z}$ tensorially. This completes proof of Toms-Winter conjecture in unique trace case.
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