Geodesic
C*–algebras Nearly Contained in Type I Algebras
Canadian journal of mathematics, Tome 65 (2013) no. 1, pp. 52-65

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we consider near inclusions $A\,{{\subseteq }_{\gamma }}\,B$ of ${{\text{C}}^{*}}$ -algebras. We show that if $B$ is a separable type $\text{I}$ ${{\text{C}}^{*}}$ -algebra and $A$ satisfies Kadison's similarity problem, then $A$ is also type $\text{I}$ . We then use this to obtain an embedding of $A$ into $B$ .
DOI : 10.4153/CJM-2012-001-1
Mots-clés : 46L05, 46L45, C*-algebras, near inclusions, perturbations, type I C*-algebras, similarity problem 
Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart. C*–algebras Nearly Contained in Type I Algebras. Canadian journal of mathematics, Tome 65 (2013) no. 1, pp. 52-65. doi: 10.4153/CJM-2012-001-1
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