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.
- theorem
OAI.KadisonKastler.finiteFactor_unitary_commutator_leline 46Source documentation
The actual randomization gives the
282δbound on every matrix unitary.theorem finiteFactor_unitary_commutator_le (U : unitary (Algebra (matrixVonNeumann (ι := Fin n) M))) : …Mentions: OAI.KadisonKastler.Algebra, OAI.KadisonKastler.matrixVonNeumann
- theorem
OAI.KadisonKastler.finiteFactor_matrix_commutator_leline 61Source documentation
Four-unitary decomposition gives the manuscript's round
600δbound 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