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.OA2026
Subhomogeneity and Arveson Boundary of Free Polyhedra
Tim Netzer
We study subhomogeneity of the minimal operator system over a polyhedral cone, or equivalently the size of irreducible Arveson boundary points of free polyhedra. We obtain a comple…
math.OA2026
On Subhomogeneous Operator Systems
Markus Dannemüller, Tim Netzer
We study subhomogeneity for finite-dimensional operator systems, and collect and extend characterizations in terms of the -envelope, -maximality, complete positivity, dual…
math.OA2025
Lifts of Operator Systems
Markus Dannemüller, Tim Netzer
We transfer the theory of slack operators and sums-of-squares-criteria for lifts from convex cones to operator systems. These allow to study the following question, among others: G…