Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A topological characterization of linearity for quasi-traces

Author(s): L. J. Bunce; 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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