OAI/Analysis/KadisonKastler/BilateralBoundaryTransport.lean

GitHub source file

10 declarations, 0 contain sorry, 0 declared as axioms

The boundary pair transforms by the inverse increment under a bilateral shift.

The boundary uses an invariant sigma algebra, not a point quotient. Its endpoint identities are therefore proved on measurable Hilbert-valued functions.

  1. def OAI.KadisonKastler.bilateralRawHalves line 21
  2. theorem OAI.KadisonKastler.bilateralRawHalves_measurePreserving line 24
  3. def OAI.KadisonKastler.bilateralTransportPairAt line 33
  4. theorem OAI.KadisonKastler.bilateralTransportPairAt_quasi line 37
  5. def OAI.KadisonKastler.bilateralTransportPair line 44
  6. theorem OAI.KadisonKastler.bilateralTransportPair_quasi line 47
  7. theorem OAI.KadisonKastler.bilateralTransportPair_first line 52
  8. theorem OAI.KadisonKastler.bilateralTransportPair_second line 72
  9. theorem OAI.KadisonKastler.bilateral_boundary_function_transport line 84
  10. theorem OAI.KadisonKastler.bilateral_equivariant_function_transport line 99