C*-algebras Nearly Contained in Type I Algebras Academic Article

abstract

• AbstractIn this paper we consider near inclusions 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. We then use this to obtain an embedding of A into B.

authors

• Smith, Roger

published proceedings

• CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES

author list (cited authors)

• Christensen, E., Sinclair, A. M., Smith, R. R., & White, S.

citation count

• 0

complete list of authors

• Christensen, Erik||Sinclair, Allan M||Smith, Roger R||White, Stuart

publication date

• February 2013

publisher

• Canadian Mathematical Society  Publisher

published in

• Canadian Journal of Mathematics  Journal

keywords

• C*-algebras
• Near Inclusions
• Perturbations
• Similarity Problem
• Type I C*-algebras

Digital Object Identifier (DOI)

• 10.4153/CJM-2012-001-1

start page

• 52

end page

• 65

volume

• 65

issue

• 1

URL

• http%3A%2F%2Fdx.doi.org%2F10.4153%2Fcjm-2012-001-1