Mathematics, Department of
Department of Mathematics: Faculty Publications
Accessibility Remediation
If you are unable to use this item in its current form due to accessibility barriers, you may request remediation through our remediation request form.
Document Type
Article
Date of this Version
9-1994
Citation
Copyright 1994 Pacific Journal of Mathematics. Used by permission.
Abstract
In this note we use cohomological techniques to prove that if there is a linear map between two CSL algebras which is close to the identity, then the two CSL algebras are similar. We use our result to show that if 2' is a purely atomic, hyperreflexive CSL with uniform infinite multiplicity which satisfies the 4-cycle interpolation condition, then there are constants d, C > 0 such that whenever L is another CSL such that d(Alg2' , AlgL) < d, then there is an invertible operator S such that S Alg2'S-1 = AlgL and IISII liS-III < 1 + Cd(AIg2' , AIgL).
Comments
PACIFIC JOURNAL OF MATHEMATICS Vol. 165, No. 1, 1994 DOI: 10.2140/pjm.1994.165.161