OAI/Analysis/NuclearUltrapower/Obstruction.lean

GitHub source file

6 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.NuclearUltrapower.MainStatement line 15

    Source documentation

    Exact main obligation, using an existential representative of the universal C*-algebra. Proving this includes existence of C*(G), not just an implication from an assumed universal model, and includes its separability. The nonembedding assertion has no separability restriction on B.

    def MainStatement : Prop :=
    …
  2. instance OAI.NuclearUltrapower.(instance at line 31) line 31
  3. instance OAI.NuclearUltrapower.(instance at line 34) line 34
  4. instance OAI.NuclearUltrapower.(instance at line 38) line 38
  5. instance OAI.NuclearUltrapower.(instance at line 42) line 42
  6. theorem OAI.NuclearUltrapower.main_statement line 49

    Source documentation

    The exact dyadic ambient group has a full group C*-algebra with the stated universal property, separability, and obstruction for every nuclear target.

    theorem main_statement : MainStatement.{0} := by
    …