English

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 CC^\ast-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 CC^\ast-algebras in the UCT class is quasidiagonal. We also prove that any amenable trace on a separable, exact, quasidiagonal CC^\ast-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

R2 v1 2026-06-22T11:40:40.524Z