OAI/Analysis/KadisonSimilarity/FreeProduct/ConstantConjugateFreeness.lean
4 declarations, 0 contain sorry, 0 declared as axioms
Source quotient unitaries and the concrete conjugated constant embedding.
- theorem
OAI.KadisonSimilarity.ConstantIntegerMoments.scalarFreeline 21 - theorem
OAI.KadisonSimilarity.tracialUltrapowerMap_constantline 43 - theorem
OAI.KadisonSimilarity.conjugatedConstantEmbedding_coordinateline 51 - theorem
OAI.KadisonSimilarity.popaConjugateFreeness_of_constant_momentsline 67Source 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