OAI/Analysis/KadisonKastler/FiniteFactorAmplification.lean

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Dimension-free amplification on a separable finite factor

The controlled free lift is constructed from the published ultrapower and independence inputs. All word, row, recovery, and norm estimates are proved.

  1. theorem OAI.KadisonKastler.finiteFactor_unitary_commutator_le line 46

    Source documentation

    The actual randomization gives the 282δ bound on every matrix unitary.

    theorem finiteFactor_unitary_commutator_le
        (U : unitary (Algebra (matrixVonNeumann (ι := Fin n) M))) :
    …

    Mentions: OAI.KadisonKastler.Algebra, OAI.KadisonKastler.matrixVonNeumann

  2. theorem OAI.KadisonKastler.finiteFactor_matrix_commutator_le line 61

    Source documentation

    Four-unitary decomposition gives the manuscript's round 600δ bound on every element of a matrix amplification of size at least two.

    theorem finiteFactor_matrix_commutator_le
        (a : Algebra (matrixVonNeumann (ι := Fin n) M)) :
    …

    Mentions: OAI.KadisonKastler.Algebra, OAI.KadisonKastler.matrixVonNeumann