Quasidiagonality of nuclear C*-algebras
作者： Wilhelm Winter , Stuart White , Aaron Tikuisis
DOI: 10.4007/ANNALS.2017.185.1.4
关键词:
摘要: We prove that faithful traces on separable and nuclear C*- algebras in the UCT class are quasidiagonal. This has a number of consequences. Firstly, by results of many hands, classification of unital, separable, simple C*-algebras finite dimension which satisfy is now complete. Secondly, our result links to general version Toms-Winter conjecture in expected way hence clarifies relation between decomposition rank dimension. Finally, we confirm Rosenberg conjecture: discrete, amenable groups have quasidiagonal C*-algebras.
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