Geodesic
Irreducible Representations of Inner Quasidiagonal C*-Algebras
Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 385-395

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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 $\text{NF}$ 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.
DOI : 10.4153/CMB-2011-082-4
Mots-clés : 46L05 
Blackadar, Bruce; Kirchberg, Eberhard. Irreducible Representations of Inner Quasidiagonal C*-Algebras. Canadian mathematical bulletin, Tome 54 (2011) no. 3, pp. 385-395. doi: 10.4153/CMB-2011-082-4
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     title = {Irreducible {Representations} of {Inner} {Quasidiagonal} {C*-Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {385--395},
     year = {2011},
     volume = {54},
     number = {3},
     doi = {10.4153/CMB-2011-082-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-082-4/}
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