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arXiv · 1107.1983

C*-algebras nearly contained in type I algebras

Erik Christensen·Allan M Sinclair·Roger R Smith·Stuart White
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Abstract

In this paper we consider near inclusions $A\subseteq_\gamma B$ of C$^*$-algebras. We show that if $B$ is a separable type I C*-algebra and $A$ satisfies Kadison's similarity problem, then $A$ is also type I and use this to obtain an embedding of $A$ into $B$.

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Erik Christensen, Allan M Sinclair, Roger R Smith, Stuart White. 2011-07-11. C*-algebras nearly contained in type I algebras. https://doi.org/10.4153/cjm-2012-001-1

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