OAI/Analysis/KadisonKastler/VectorBicentralizerTests.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

Unitary tests for the vector form of the bicentralizer

The closed asymptotic sequence algebra is a C-star algebra. Its four-unitary decomposition shows that testing all its bounded sequences is equivalent to testing its unitaries. This does not assert triviality of the bicentralizer.

  1. instance OAI.KadisonKastler.centralSequenceAlgebra_complete line 26
  2. instance OAI.KadisonKastler.centralSequenceAlgebra_cstar line 30
  3. def OAI.KadisonKastler.vectorBicentralizerMember line 33
  4. def OAI.KadisonKastler.commutatorSequenceEvaluation line 37
  5. theorem OAI.KadisonKastler.vectorBicentralizerMember_iff_unitary line 51