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A CHARACTERISATION OF THE NORMALISERS OF C*-ALGEBRAS

2004
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Glasgow Mathematical Journal
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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. 2000 Mathematics Subject Classification. 46L07, 46L08. It is easy to see that the TRO U ⊆ B(H 1 , H 2 ) that is generated by T consists of normalisers of B into A; thus each normaliser of B into A belongs to a TRO each of whose

doi:10.1017/s0017089504001958
fatcat:m3tzuaoj2zbshdhp7dpaj4ghyq