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

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- by L. J. Bunce and J. Hamhalter
- Proc. Amer. Math. Soc.
**123**(1995), 157-160 - DOI: https://doi.org/10.1090/S0002-9939-1995-1223512-8
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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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## Bibliographic Information

- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**123**(1995), 157-160 - MSC: Primary 46L50; Secondary 46L10, 46L30, 46L70
- DOI: https://doi.org/10.1090/S0002-9939-1995-1223512-8
- MathSciNet review: 1223512