OAI/Analysis/KadisonSimilarity/Representation/SeparableModelConstruction.lean

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The separable central model is constructed from the represented algebra. All norm, density and factor-fiber properties are proved.

  1. theorem OAI.KadisonSimilarity.exists_publishedSeparableModel line 23

    Source documentation

    Construct the central factor decomposition needed by the manuscript's separable estimate, including possible zero fibers.

    theorem exists_publishedSeparableModel (P : VonNeumannAlgebra H) :
        Nonempty (PublishedSeparableModel P) := by
    …

    Mentions: OAI.KadisonSimilarity.PublishedSeparableModel

  2. theorem OAI.KadisonSimilarity.publishedUniformInputs line 80

    Source documentation

    Every separable represented von Neumann algebra admits the central factor decomposition used in the uniform commutator estimate.

    theorem publishedUniformInputs : PublishedUniformInputs.{u} :=
    …