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International Journal of Theoretical Physics

, Volume 39, Issue 6, pp 1413–1436 | Cite as

Topos Perspective on the Kochen=nSpeckerTheorem: III. Von Neumann Algebras as theBase Category

  • J. Hamilton
  • C. J. Isham
  • J. Butterfield
Article

Abstract

We extend the topos-theoretic treatment given in previous papers of assigningvalues to quantities in quantum theory, and of related issues such as theKochen–Specker theorem. This extension has two main parts: the use of vonNeumann algebras as a base category and the relation of our generalized valuationsto (i) the assignment to quantities of intervals of real numbers and (ii) the ideaof a subobject of the coarse-graining presheaf.

Keywords

Field Theory Real Number Elementary Particle Quantum Field Theory Quantum Theory 
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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • J. Hamilton
    • 1
  • C. J. Isham
    • 1
  • J. Butterfield
    • 2
  1. 1.The Blackett LaboratoryImperial College of Science,Technology and MedicineLondonU.K
  2. 2.All Souls CollegeOxfordU.K.

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