OAI/Analysis/KadisonKastler/StatePreservingSpatial.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

Spatial implementation of a vector-state preserving isomorphism

This is the representation-transport part of the modular-core isomorphism argument. Changing the state itself still requires a separate construction.

  1. theorem OAI.KadisonKastler.statePreserving_norm line 26
  2. def OAI.KadisonKastler.statePreservingUnitary line 43
  3. theorem OAI.KadisonKastler.statePreservingUnitary_algebraVector line 47
  4. theorem OAI.KadisonKastler.statePreservingUnitary_vector line 51
  5. theorem OAI.KadisonKastler.statePreservingUnitary_intertwines line 57
  6. theorem OAI.KadisonKastler.statePreservingUnitary_conjugates line 70