OAI/Analysis/KadisonKastler/PointedMatrixProduct.lean

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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.

  1. structure OAI.KadisonKastler.PointedMatrixSites line 25

    Source 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
    …
  2. structure OAI.KadisonKastler.PointedMatrixProduct line 40

    Source 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
    …