OAI/Analysis/BoundedHochschild/MultimodularTransport.lean

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7 declarations, 0 contain sorry, 0 declared as axioms

A multimodular cochain is fixed by independent boundary transports from its subalgebra, hence by finite-group averaging in that subalgebra.

  1. lemma OAI.BoundedHochschild.KadisonRingrose.cochainUnitaryTransport_one line 14
  2. def OAI.BoundedHochschild.KadisonRingrose.unitaryPrefix line 22
  3. lemma OAI.BoundedHochschild.KadisonRingrose.unitaryPrefix_step line 25
  4. lemma OAI.BoundedHochschild.KadisonRingrose.cochainUnitaryTransport_fixed_of_coordinates line 38
  5. lemma OAI.BoundedHochschild.KadisonRingrose.cochainUnitaryTransport_coordinate_fixed line 62
  6. lemma OAI.BoundedHochschild.KadisonRingrose.cochainUnitaryTransport_fixed_of_multimodular line 117
  7. lemma OAI.BoundedHochschild.KadisonRingrose.finiteGroupCochainAverage_fixes line 124