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Discontinuous homomorphisms from C*-algebras

Published online by Cambridge University Press:  24 October 2008

D. W. B. Somerset
D. W. B. Somerset
Affiliation:
School of Mathematics, University of Leeds, Leeds LS2 9JT
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Abstract

A necessary and sufficient condition is given for a unital C*-algebra A to admit a discontinuous homomorphism into a Banach algebra which is continuous on its centre. The condition is that A must have a Glimm ideal G such that the C*-algebra A/G admits a discontinuous homomorphism into a Banach algebra.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 1 , July 1991 , pp. 147 - 150
Copyright
Copyright © Cambridge Philosophical Society 1991

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