A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

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

1995
*
Proceedings of the American Mathematical Society
*

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. A positive measure on the projection lattice P(M) of a JBW-algebra M is a function p: P(M) -> [0, oo] such that p(e + f) = p(e) + p(f) whenever ef = 0. Such a measure is said to be a probability measure if p(l) = 1. A

doi:10.1090/s0002-9939-1995-1223512-8
fatcat:cznpuffqbbhxne6fx6yp6zu2nu