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

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

2008-09-18

arxiv.org/abs/0809.3227v1

Mathematics

Operator Algebras

22 pages

Scientific paper

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 $\mathcal{OL}_\infty(A)>1.$

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