Quasidiagonal traces on exact $C^\ast$-algebras
Operator Algebras
2015-11-10 v1
Abstract
Recently, it was proved by Tikuisis, White and Winter that any faithful trace on a separable, nuclear -algebras in the UCT class is quasidiagonal. Building on their work, we generalise the result, and show that any faithful, amenable trace on a separable, exact -algebras in the UCT class is quasidiagonal. We also prove that any amenable trace on a separable, exact, quasidiagonal -algebra in the UCT class is quasidiagonal.
Keywords
Cite
@article{arxiv.1511.02760,
title = {Quasidiagonal traces on exact $C^\ast$-algebras},
author = {James Gabe},
journal= {arXiv preprint arXiv:1511.02760},
year = {2015}
}
Comments
13 pages