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arxiv: 1804.02203 · v2 · pith:MHF4PSRNnew · submitted 2018-04-06 · 🧮 math.OA · cs.LO· math.CT

The Category of Von Neumann Algebras

Abraham A. Westerbaan This is my paper
classification 🧮 math.OA cs.LOmath.CT
keywords algebrasneumanncategorybasiccompletelycontractivedissertationextensive
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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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Cited by 2 Pith papers

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    math-ph 2026-06 unverdicted novelty 6.0

    Defines integration of W*-algebra-valued functions via POVMs as a faithful normal unital CP map identified with a tensor product of the identity and the map induced by the POVM.

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    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.