Observables IV: The presheaf perspective

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dc.creatorde Groote, Hans F.
dc.date2007-08-05
dc.date.accessioned2026-07-07T08:22:16Z
dc.date.available2026-07-07T08:22:16Z
dc.descriptionIn this fourth of our series of papers on observables we show that one can associate to each von Neumann algebra R a pair of isomorphic presheaves, the upper presheaf O^{+}_{R} and the lower presheaf O^{-}_{R}, on the category of abelian von Neumann subalgebras of R. Each $A \in R_{sa}$ induces a global section of O^{+}_{R} and of O^{-}_{R} respectively. We call them \emph {contextual observables}. But we show that, in general, not every global section of these presheaves arises in this way. Moreover, we discuss states of a von Neumann algebra in the presheaf context.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0708.0677
dc.identifierhttp://arxiv.org/abs/0708.0677
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135596
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subjectQuantum Physics
dc.titleObservables IV: The presheaf perspective
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