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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Traces and subadditive measures on projections in $ {\rm JBW}$-algebras and von Neumann algebras


Authors: L. J. Bunce and J. Hamhalter
Journal: Proc. Amer. Math. Soc. 123 (1995), 157-160
MSC: Primary 46L50; Secondary 46L10, 46L30, 46L70
MathSciNet review: 1223512
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Abstract: Let $ P(M)$ be the projection lattice of an arbitrary JBW-algebra or von Neumann algebra M. It is shown that the tracial states of M correspond by extension precisely to the subadditive probability measures on $ P(M)$. The analogous result for normal semifinite traces is also proved.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1223512-8
PII: S 0002-9939(1995)1223512-8
Article copyright: © Copyright 1995 American Mathematical Society