A Characterization of Tracially Nuclear C*-algebras
Operator Algebras
2018-10-15 v1
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.
Keywords
Cite
@article{arxiv.1810.05293,
title = {A Characterization of Tracially Nuclear C*-algebras},
author = {Don Hadwin and Weihua Li and Wenjing Liu and Junhao Shen},
journal= {arXiv preprint arXiv:1810.05293},
year = {2018}
}