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A CHARACTERISATION OF THE NORMALISERS OF C*-ALGEBRAS

Published online by Cambridge University Press:  11 October 2004

I. G. TODOROV
Affiliation:
Department of Pure Mathematics, Queen's University, Belfast BT7 1NN, Northern Ireland e-mail: [email protected]
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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

Type
Research Article
Copyright
© 2004 Glasgow Mathematical Journal Trust