Irreducible representations of inner quasidiagonal C*-algebras
Operator Algebras
2007-12-12 v2
Abstract
It is shown that a separable C*-algebra is inner quasidiagonal if and only if it has a separating family of quasidiagonal irreducible representations. As a consequence, a separable C*-algebra is a strong NF algebra if and only if it is nuclear and has a separating family of quasidiagonal irreducible representations. We also obtain some permanence properties of the class of inner quasidiagonal C*-algebras.
Cite
@article{arxiv.0711.4949,
title = {Irreducible representations of inner quasidiagonal C*-algebras},
author = {Bruce Blackadar and Eberhard Kirchberg},
journal= {arXiv preprint arXiv:0711.4949},
year = {2007}
}