2 papers
math.OA2026
A Hilbert Module Approach to Classical and Quantum Reference Frames
Lucus Brady
In this paper, we present a model for classical and quantum reference frames for -algebras by utilizing Hilbert modules and equivariant correspondences of -dynamical syst…
math.OA2026
Functoriality of the KSGNS Construction for Intertwiners of Strict Positive -Correspondences
Lucus Brady, Ryan Grady
We prove that the KSGNS construction can be viewed as an endofunctor on a category whose objects are strict positive -correspondences from a fixed -algebra and morphisms…