• Mathematics
  • Published 1993

Pure Jauch-Piron states on von Neumann algebras

@inproceedings{Hamhalter1993PureJS,
  title={Pure Jauch-Piron states on von Neumann algebras},
  author={Jan Hamhalter},
  year={1993}
}
We study Jauch-Piron states and two-valued measures on von Neumann algebra. We prove as the main result that, under some set-theoretical assumption, a pure state of a von Neumann algebra A not containing a central abelian portion is Jauch-Piron if and only if it is σ-additive. Moreover, we show that this result holds for type I factor indenpendently on the set-theoretical axiomatics. As a consequence we obtain a lucid characterization of pure Jauch-Piron states on von Neumann algebras acting on… CONTINUE READING

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