OAI/Analysis/KadisonKastler/PointedMatrixProduct.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Finite-site coordinates for pointed matrix products
The finite moments below identify the actual matrix-state product. They do not include any assertion about factor type, centralizers or absorption.
- structure
OAI.KadisonKastler.PointedMatrixSitesline 25Source documentation
A coordinate description of the product of two-dimensional matrix states. Only distinct-site moments are needed: repeated entries at a site are reduced by the matrix-unit identities.
structure PointedMatrixSites {I : Type*} (M : VonNeumannAlgebra H) (Ω : H) (ν : I → ℝ) where … - structure
OAI.KadisonKastler.PointedMatrixProductline 40Source documentation
A concrete pointed matrix product in its faithful product-state representation. This is construction data, not a classification.
structure PointedMatrixProduct {I : Type} (ν : I → ℝ) where …