C*-algebras nearly contained in type I algebras

Erik Christensen; Allan M Sinclair; Roger R Smith; Stuart White

doi:10.4153/CJM-2012-001-1

C*-algebras nearly contained in type I algebras

Operator Algebras 2015-08-26 v1

Authors: Erik Christensen , Allan M Sinclair , Roger R Smith , Stuart White

View on arXiv ↗ PDF ↗ DOI ↗

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 $B$ .

Keywords

c*-algebras graph algebras cuntz semigroup

Cite

@article{arxiv.1107.1983,
  title  = {C*-algebras nearly contained in type I algebras},
  author = {Erik Christensen and Allan M Sinclair and Roger R Smith and Stuart White},
  journal= {arXiv preprint arXiv:1107.1983},
  year   = {2015}
}

Comments

17 Pages

Related papers

View all related →