OAI/Analysis/KadisonKastler/ModularGraphAction.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

A common modular action from uniform rescaled graph comparison

  1. theorem OAI.KadisonKastler.modularComparisonField_continuous line 18
  2. theorem OAI.KadisonKastler.modularComparisonField_star_continuous line 36
  3. theorem OAI.KadisonKastler.uniform_common_action_of_rescaled_graphs line 51

    Source documentation

    The graph estimate now supplies both frequency defects. The uniform tolerance and linear conjugacy constant precede all representation data.

    theorem uniform_common_action_of_rescaled_graphs
        (hSpectral : PublishedVonNeumannSpectralCut.{u})
        (hCompare : PublishedTypeIIIProjectionComparison.{u})
        (hSakai : PublishedSimpleDerivationInner.{u})
        (hDistance : ∀ (H : Type u) [NormedAddCommGroup H] [InnerProductSpace ℂ H]
          [CompleteSpace H], ∀ M : VonNeumannAlgebra H,
            PublishedBlockCommutantApproximation (Algebra M) H)
        (hHardy : PublishedHardyMultiplierEvaluation.{u})
        (hNest : PublishedRealNestDistance.{u})
        (hRealSpectral : PublishedRealSpectralCommutant.{u})
        (hDiagonal : PublishedRealDiagonalDecomposition.{u})
        {B : ℝ} (hB : 0 ≤ B) :
    …

    Mentions: OAI.KadisonKastler.PublishedBlockCommutantApproximation, OAI.KadisonKastler.Algebra