Tracial approximation in simple C*-algebras
Operator Algebras
2020-04-24 v1
Abstract
We revisit the notion of tracial approximation for unital simple C*-algebras. We show that a unital simple separable C*-algebra A is asymptotically tracially in the class of C*-algebras with finite nuclear dimension if and only if A is asymptotically tracially in the class of simple nuclear Z-stable C*-algebras.
Keywords
Cite
@article{arxiv.2004.10901,
title = {Tracial approximation in simple C*-algebras},
author = {Xuanlong Fu and Huaxin Lin},
journal= {arXiv preprint arXiv:2004.10901},
year = {2020}
}