Nuclear dimension and \mathcal Z-stability
作者： Wilhelm Winter , Stuart White , Yasuhiko Sato
DOI: 10.1007/S00222-015-0580-1
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摘要: Simple, separable, unital, monotracial and nuclear C ∗ -algebras are shown to have finite dimension whenever they absorb the Jiang-Su algebraZ tensorially.ThiscompletestheproofoftheToms-Winterconjecture in unique trace case. ThestructuretheoryofsimplenuclearC -algebrasiscurrentlyundergoingrev- olutionary progress, driven by discovery of regularity properties various flavours: topological, functional analytic algebraic. Despite diverse nature these properties, all satisfied those classes which been successfully classified K-theoretic data, fail spectacularly for "exotic" algebras (30,40) provide counterexamples Elliott's classification conjecture. The observation that
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