OAI/Analysis/KadisonSimilarity/UnconditionalSimilarity.lean
2 declarations, 0 contain sorry, 0 declared as axioms
The universal commutator estimate and finite cyclic reduction imply similarity for every bounded unital representation.
- theorem
OAI.KadisonSimilarity.similarityTheoremline 16Source documentation
Theorem
thm:similarity: every bounded unital complex-algebra representation of a unital C-star algebra is similar to a star representation.Distinct definitions of this name: ComparatorChallenges/KadisonSimilarity.lean:115 (same statement text; different proof or body). Qualify references as OAI.KadisonSimilarity.similarityTheorem@path.
theorem similarityTheorem : SimilarityTheorem.{u,v} := by … - theorem
OAI.KadisonSimilarity.kirchbergDerivationCriterion_provedline 24Source documentation
The universal estimate implies the derivation criterion for every algebra.
theorem kirchbergDerivationCriterion_proved (A : Type u) [CStarAlgebra A] : KirchbergDerivationCriterion.{u,v} A := by …