OAI/Analysis/KadisonSimilarity/Representation/SeparableModelConstruction.lean
2 declarations, 0 contain sorry, 0 declared as axioms
The separable central model is constructed from the represented algebra. All norm, density and factor-fiber properties are proved.
- theorem
OAI.KadisonSimilarity.exists_publishedSeparableModelline 23Source documentation
Construct the central factor decomposition needed by the manuscript's separable estimate, including possible zero fibers.
theorem exists_publishedSeparableModel (P : VonNeumannAlgebra H) : Nonempty (PublishedSeparableModel P) := by … - theorem
OAI.KadisonSimilarity.publishedUniformInputsline 80Source documentation
Every separable represented von Neumann algebra admits the central factor decomposition used in the uniform commutator estimate.
theorem publishedUniformInputs : PublishedUniformInputs.{u} := …