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arXiv · 1810.05293

A Characterization of Tracially Nuclear C*-algebras

Don Hadwin·Weihua Li·Wenjing Liu·Junhao Shen
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Abstract

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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Don Hadwin, Weihua Li, Wenjing Liu, Junhao Shen. 2018-10-12. A Characterization of Tracially Nuclear C*-algebras. https://arxiv.org/abs/1810.05293

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