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Order and commutativity in C*-algebras

Published online by Cambridge University Press:  24 October 2008

R. J. Archbold
R. J. Archbold
Affiliation:
University of Aberdeen
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Extract

In this paper, we use the results of (3) to show that a condition which is formally much weaker than that given by Sherman in (11) is necessary and sufficient for the commutativity of a C*-algebra. The basic idea behind the proof is then used again to obtain a characterization in order-theoretic terms of the self-adjoint elements in the centre of a C*-algebra. We shall use the notation and terminology of (3).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 1 , July 1974 , pp. 153 - 155
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

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