On $\mathcal{OL}_\infty$ structure of nuclear, quasidiagonal C*-algebras

Caleb Eckhardt

On $\mathcal{OL}_\infty$ structure of nuclear, quasidiagonal C*-algebras

Operator Algebras 2012-09-28 v1 Functional Analysis

Authors: Caleb Eckhardt

Abstract

We continue the study of $\mathcal{OL}_\infty$ structure of nuclear $C^*$ -algebras initiated by Junge, Ozawa and Ruan. In particular, we prove if $\mathcal{OL}_\infty(A)<1.005,$ then $A$ has a separating family of irreducible, stably finite representations. As an application we give examples of nuclear, quasidiagonal $C^*$ -algebras $A$ with $\mathcal{OL}_\infty(A)>1.$

Keywords

c*-algebras

Cite

@article{arxiv.0809.3227,
  title  = {On $\mathcal{OL}_\infty$ structure of nuclear, quasidiagonal C*-algebras},
  author = {Caleb Eckhardt},
  journal= {arXiv preprint arXiv:0809.3227},
  year   = {2012}
}

Comments

22 pages

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