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A CHARACTERISATION OF THE NORMALISERS OF C*-ALGEBRAS

Published online by Cambridge University Press:  11 October 2004

I. G. TODOROV
I. G. TODOROV
Affiliation:
Department of Pure Mathematics, Queen's University, Belfast BT7 1NN, Northern Ireland e-mail: i.todorov@qub.ac.uk
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Abstract

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We characterise the ternary rings of operators possessing a completely isometric representation whose range consists of normalisers or semi-normalisers between the ranges of some $^{*}$-representations of two fixed C$^{*}$-algebras. We give some corollaries of these results.

Keywords

46L0746L08
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 3 , September 2004 , pp. 489 - 498
Copyright
© 2004 Glasgow Mathematical Journal Trust