OAI/Analysis/NuclearUltrapower/Obstruction.lean
6 declarations, 0 contain sorry, 0 declared as axioms
- def
OAI.NuclearUltrapower.MainStatementline 15Source 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 := …
- instance
OAI.NuclearUltrapower.(instance at line 31)line 31 - instance
OAI.NuclearUltrapower.(instance at line 34)line 34 - instance
OAI.NuclearUltrapower.(instance at line 38)line 38 - instance
OAI.NuclearUltrapower.(instance at line 42)line 42 - theorem
OAI.NuclearUltrapower.main_statementline 49Source 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 …