OAI/Analysis/KadisonSimilarity/UnconditionalSimilarity.lean

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The universal commutator estimate and finite cyclic reduction imply similarity for every bounded unital representation.

  1. theorem OAI.KadisonSimilarity.similarityTheorem line 16

    Source 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
    …
  2. theorem OAI.KadisonSimilarity.kirchbergDerivationCriterion_proved line 24

    Source documentation

    The universal estimate implies the derivation criterion for every algebra.

    theorem kirchbergDerivationCriterion_proved (A : Type u) [CStarAlgebra A] :
        KirchbergDerivationCriterion.{u,v} A := by
    …