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A Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann Algebras as the Base Category

Hamilton, John and Isham, Chris and Butterfield, Jeremy (2000) A Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann Algebras as the Base Category. UNSPECIFIED.

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    Abstract

    We extend the topos-theoretic treatment given in previous papers of assigning values to quantities in quantum theory, and of related issues such as the Kochen-Specker theorem. This extension has two main parts: the use of von Neumann algebras as a base category (Section 2); and the relation of our generalized valuations to (i) the assignment to quantities of intervals of real numbers, and (ii) the idea of a subobject of the coarse-graining presheaf (Section 3).


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    Item Type: Other
    Additional Information: Published in: International Journal of Theoretical Physics, volume 39, 2000, pages 1413-1436
    Keywords: Kochen-Specker theorem; von Neumann algebras; topos theory; interval-valuations; subobjects
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Jeremy Butterfield
    Date Deposited: 29 Aug 2004
    Last Modified: 07 Oct 2010 11:12
    Item ID: 1918
    Public Domain: No
    URI: http://philsci-archive.pitt.edu/id/eprint/1918

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