OAI/Analysis/KadisonKastler/RelativeMatrixFactorEquiv.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

A finite matrix commutant in a type III factor

An isometry onto one diagonal matrix corner identifies the ambient algebra with the matrix commutant. This also transports the type III predicate.

  1. theorem OAI.Generator.MatrixUnitSystem.corner_isometry_left line 26
  2. theorem OAI.Generator.MatrixUnitSystem.corner_isometry_right line 30
  3. def OAI.Generator.MatrixUnitSystem.isometricCommutantEquiv line 33
  4. theorem OAI.KadisonKastler.TypeIIIFactor.exists_relative_matrix_equiv line 103
  5. theorem OAI.KadisonKastler.TypeIIIFactor.relative_matrix line 116