OAI/Analysis/FreeWords/FactorStructure.lean

GitHub source file

23 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.KKFactorSupport.algebraConj line 19
  2. theorem OAI.KKFactorSupport.algebraConj_apply line 25
  3. theorem OAI.KKFactorSupport.trace_algebraConj line 29
  4. theorem OAI.KKFactorSupport.star_conj_mul_conj line 36
  5. theorem OAI.KKFactorSupport.preGNS_conj_norm line 47
  6. def OAI.KKFactorSupport.preGNSConj line 54
  7. def OAI.KKFactorSupport.gnsConj line 60
  8. theorem OAI.KKFactorSupport.gnsConj_vector line 64
  9. theorem OAI.KKFactorSupport.gnsConj_norm line 72
  10. theorem OAI.KKFactorSupport.tracePositive_tracial line 107
  11. theorem OAI.KKFactorSupport.gnsVector_injective line 110
  12. theorem OAI.KKFactorSupport.tendsto_gnsMean_inner line 121
  13. theorem OAI.KKFactorSupport.gnsVector_closedBall_isClosed line 144
  14. def OAI.KKFreeLiftFrontier.IsFactor line 189
  15. def OAI.KKFactorSupport.conjugacyOrbit line 213
  16. def OAI.KKFactorSupport.conjugacyHull line 218
  17. theorem OAI.KKFactorSupport.norm_minimizer_unique line 244
  18. theorem OAI.KKFactorSupport.mapsTo_hull line 259
  19. theorem OAI.KKFactorSupport.conjugacyHull_bounded line 269
  20. theorem OAI.KKFactorSupport.conjugacyHull_trace line 284
  21. theorem OAI.KKFactorSupport.gnsConj_hull line 301
  22. theorem OAI.KKFactorSupport.commute_all_of_unitary line 314
  23. theorem OAI.KKFactorSupport.factor_trace_in_conjugacyHull line 325