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A topological characterization of linearity
for quasi-traces

Authors: L. J. Bunce and J. D. Maitland Wright
Journal: Proc. Amer. Math. Soc. 124 (1996), 2377-2381
MSC (1991): Primary 46L30, 46L05
MathSciNet review: 1322914
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Abstract: Let $\mathcal A$ be a $C^\ast $-algebra, and let $\mu $ be a (local) quasi-trace on $\mathcal A$. Then $\mu $ is linear if, and only if, the restriction of $\mu $ to the closed unit ball of $\mathcal A$ is uniformly weakly continuous.

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Additional Information

L. J. Bunce
Affiliation: Department of Mathematics, The University of Reading, White Knights, P. O. Box 220, Reading RG6 2AX, England

J. D. Maitland Wright
Affiliation: Isaac Newton Institute, 20 Clarkson Road, Cambridge, England

Received by editor(s): May 16, 1994
Received by editor(s) in revised form: January 24, 1995
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society