Irreducible representations of inner quasidiagonal C*-algebras

Details Irreducible representations of inner quasidiagonal C*-algebras Irreducible representations of inner quasidiagonal C*-algebras

2007-11-30

arxiv.org/abs/0711.4949v2

Mathematics

Operator Algebras

Scientific paper

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.

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