The Category of Von Neumann Algebras

Abstract

In this dissertation we study the category of completely positive normal contractive maps between von Neumann algebras. It includes an extensive introduction to the basic theory of $C^{\ast }$-algebras and von Neumann algebras.

arXiv commentPh.D. thesis

References in corpus (13)

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• A Recipe for State-and-Effect Triangles
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Cited by in corpus (9)

• Quantum sets
• Dagger and Dilation in the Category of Von Neumann algebras
• Commutativity in Jordan Operator Algebras
• Distances between States and between Predicates
• A computer scientist's reconstruction of quantum theory
• Effectuses in Categorical Quantum Foundations
• Pure Maps between Euclidean Jordan Algebras
• Quantum monadic algebras
• Quantum Theory from Principles, Quantum Software from Diagrams