, Volume 32, Issue 10, pp 1985-1991

Jauch-Piron property (everywhere!) in the logicoalgebraic foundation of quantum theories

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The Jauch-Piron property of states on a quantum logic is seen to be of considerable importance within the foundation of quantum theories. In this survey we summarize and comment on recent results on the Jauch-Piron property. We also pose a few open problems whose solution may help in further developing quantum theories and noncommutative measure theory.