OAI/Analysis/KadisonSimilarity/FreeProduct/ConstantConjugateFreeness.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Source quotient unitaries and the concrete conjugated constant embedding.

  1. theorem OAI.KadisonSimilarity.ConstantIntegerMoments.scalarFree line 21
  2. theorem OAI.KadisonSimilarity.tracialUltrapowerMap_constant line 43
  3. theorem OAI.KadisonSimilarity.conjugatedConstantEmbedding_coordinate line 51
  4. theorem OAI.KadisonSimilarity.popaConjugateFreeness_of_constant_moments line 67

    Source documentation

    Ambient constant freeness supplies the exact published-input proposition, with the witness retained in the source ultrapower.

    theorem popaConjugateFreeness_of_constant_moments
        (hω : (ω : Filter ℕ) ≤ Filter.cofinite) (ρ : R →⋆ₐ[ℂ] A)
        (u : ℕ → unitary A)
        (hu : ConstantIntegerMoments τB hB ω trB (fun n => mapUnitary φ (u n))) :
        Popa1995ConjugateFreenessInput τA τB hA hB ω trA trB φ hφ hω ρ := by
    …

    Mentions: OAI.KadisonSimilarity.ConstantIntegerMoments, OAI.KadisonSimilarity.Popa1995ConjugateFreenessInput