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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Derivations of $ C^*$-algebras which are not determined by multipliers in any quotient algebra


Author: Jun Tomiyama
Journal: Proc. Amer. Math. Soc. 47 (1975), 265-267
DOI: https://doi.org/10.1090/S0002-9939-1975-0355623-0
MathSciNet review: 0355623
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Abstract | References | Additional Information

Abstract: An example is given to show that, in a $ {C^ \ast }$-algebra without unit, a derivation is not necessarily determined by a multiplier in some quotient algebra.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1975-0355623-0
Keywords: $ {C^ \ast }$-algebras, multiplier algebras, derivation determined by a multiplier
Article copyright: © Copyright 1975 American Mathematical Society