OAI/Analysis/ModularTheory/DualAction.lean

GitHub source file

9 declarations, 0 contain sorry, 0 declared as axioms

The concrete dual character unitaries preserve the generated von Neumann algebra. This supplies its actual dual action; it does not assert the existence or properties of a dual weight.

  1. def OAI.WeakPureInfiniteness.modularDualConjugation line 19
  2. lemma OAI.WeakPureInfiniteness.modularDualConjugation_coeff line 24
  3. lemma OAI.WeakPureInfiniteness.modularDualConjugation_translate line 33
  4. lemma OAI.WeakPureInfiniteness.modularDualConjugation_coeff_mem line 44
  5. lemma OAI.WeakPureInfiniteness.modularDualConjugation_translate_mem line 50
  6. lemma OAI.WeakPureInfiniteness.modularDualConjugation_generators line 58
  7. def OAI.WeakPureInfiniteness.modularDualPreimage line 65
  8. lemma OAI.WeakPureInfiniteness.modularDualConjugation_algebraic line 70
  9. lemma OAI.WeakPureInfiniteness.modularDualConjugation_mem line 79