Defines W*-algebra valued integration via POVMs on measurable spaces, proving the map is a faithful normal unital CP map that is a *-homomorphism for PVMs and satisfies Leibniz and Fubini rules.
The Category of Von Neumann Algebras
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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 $C^*$-algebras and von Neumann algebras.
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math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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W*-algebraic Integration Theory
Defines W*-algebra valued integration via POVMs on measurable spaces, proving the map is a faithful normal unital CP map that is a *-homomorphism for PVMs and satisfies Leibniz and Fubini rules.