# Observables IV: The presheaf perspective - Mathematical Physics

Observables IV: The presheaf perspective - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: In this fourth of our series of papers on observables we show that one canassociate to each von Neumann algebra R a pair of isomorphic presheaves, theupper presheaf O^{+} {R} and the lower presheaf O^{-} {R}, on the category ofabelian von Neumann subalgebras of R. Each $A \in R {sa}$ induces a globalsection of O^{+} {R} and of O^{-} {R} respectively. We call them \emph{contextual observables}. But we show that, in general, not every globalsection of these presheaves arises in this way. Moreover, we discuss states ofa von Neumann algebra in the presheaf context.

Autor: Hans F. de Groote

Fuente: https://arxiv.org/