On Subhomogeneous Operator Systems

2026/06/24 by Markus Dannemüller, Tim Netzer
Mathematics · #math.OA

paper · pdf

Abstract

We study subhomogeneity for finite-dimensional operator systems, and collect and extend characterizations in terms of the C^*-envelope, d-maximality, complete positivity, dual d-minimality, and non-commutative boundary conditions. We then show that the dual of a subhomogeneous operator system, while not necessarily subhomogeneous itself, is always a quotient of a subhomogeneous system. We complement these characterizations with examples and counterexamples, including minimal and maximal systems over certain polyhedral cones.

Citations

• Representations of noncommutative cubes and prisms

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