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Derivations and pure states

Published online by Cambridge University Press:  18 May 2009

J. P. Sproston
J. P. Sproston
Affiliation:
Department of Pure Mathematics, University of Hull, Hull
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In this note we point out and discuss a relationship between the following two properties which a C*-algebra A may have:

(D) all derivations on A are inner;

(P) the set of pure states of A is w*-compact.

The relationship is deduced from a comparison of two existing theorems ((I) and (II) below).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 18 , Issue 1 , January 1977 , pp. 73 - 77
Copyright
Copyright © Glasgow Mathematical Journal Trust 1977

References

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