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math.OA2019
Duplicable von Neumann Algebras
Kenta Cho, Abraham A. Westerbaan
Recently, we have shown that von Neumann algebras form a model for Selinger and Valiron's quantum lambda calculus. In this paper, we explain our choice of interpretation of the dup…
math.OA2018
Pure Maps between Euclidean Jordan Algebras
Abraham Westerbaan, Bas Westerbaan, John van de Wetering
We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems. We show that this defi…
math.OA2018
The Category of Von Neumann Algebras
Abraham A. Westerbaan
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…