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convex cones 1enriched category theory 1Lorentz cones 1matrix algebras 1module equivalence 1nonunital operator systems 1ordered Banach spaces 1positive semidefinite cones 1purification principle 1quantum theory 1tensor cones 1

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math.CT2026

Nonunital Operator Systems as Modules in Enriched Category Theory

Tim Netzer, Tobias Fritz

The paper shows that nonunital operator systems can be viewed as modules in an enriched categorical setting, establishing an equivalence with modules over matrix algebras enriched…