enriched category theory 1matrix algebras 1module equivalence 1nonunital operator systems 1ordered Banach spaces 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…
math.CT2025
Dilations and information flow axioms in categorical probability
Tobias Fritz, Tomáš Gonda, Nicholas Gauguin Houghton-Larsen +3
We study the positivity and causality axioms for Markov categories as properties of dilations and information flow in Markov categories, and in variations thereof for arbitrary sem…