Irreducible Representations of Inner Quasidiagonal C*-algebras
نویسنده
چکیده
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.
منابع مشابه
∗ - algebras
We continue the study of OL∞ structure of nuclear C∗-algebras initiated by Junge, Ozawa and Ruan. In particular, we prove ifOL∞(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 OL∞(A) > 1.
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