C*-algebras nearly contained in type I algebras

Details C*-algebras nearly contained in type I algebras C*-algebras nearly contained in type I algebras

2011-07-11

arxiv.org/abs/1107.1983v1

Mathematics

Operator Algebras

17 Pages

Scientific paper

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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