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arxiv: 1810.05293 · v1 · pith:4YOSV4O3new · submitted 2018-10-12 · 🧮 math.OA

A Characterization of Tracially Nuclear C*-algebras

Don Hadwin , Weihua Li , Wenjing Liu , Junhao Shen This is my paper
classification 🧮 math.OA
keywords algebrasnucleartraciallysecondalgebracharacterizationcharacterizationscondition
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We give two characterizations of tracially nuclear C*-algebras. The first is that the finite summand of the second dual is hyperfinite. The second is in terms of a variant of the weak* uniqueness property. The necessary condition holds for all tracially nuclear C*-algebras. When the algebra is separable, we prove the sufficiency.

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