3 papers
math.OA2025
Soft inductive limits of operator systems and a noncommutative Lazar-Lindenstrauss theorem
Kristin Courtney, Niklas Galke, Lauritz van Luijk +1
We establish a flexible generalization of inductive systems of operator systems, which relaxes the usual transitivity (or coherence) condition to an asymptotic version thereof and…
math.OA2025
Connectivity for quantum graphs via quantum adjacency operators
Kristin Courtney, Priyanga Ganesan, Mateusz Wasilewski
Connectivity is a fundamental property of quantum graphs, previously studied in the operator system model for matrix quantum graphs and via graph homomorphisms in the quantum adjac…
math.OA2023
Images of Order Zero Maps
Kristin Courtney, Wilhelm Winter
We give sufficient conditions allowing one to build a C*-algebraic structure on a self-adjoint linear subspace of a C*-algebra in such a way that the subspace is naturally identifi…