OAI/Analysis/FiniteFactor/Model.lean

GitHub source file

5 declarations, 0 contain sorry, 0 declared as axioms

  1. def OAI.FiniteFactor.HasScalarCenter line 14

    Source documentation

    A concrete factor has scalar center.

    Also declared: ComparatorChallenges/FiniteFactor.lean:14 (same declaration text).

    def HasScalarCenter (M : VonNeumannAlgebra H) : Prop :=
    …
  2. def OAI.FiniteFactor.IsFiniteAlgebra line 18

    Source documentation

    Finiteness: every isometry in the algebra is unitary.

    Also declared: ComparatorChallenges/FiniteFactor.lean:18 (same declaration text).

    def IsFiniteAlgebra (M : VonNeumannAlgebra H) : Prop :=
    …
  3. def OAI.FiniteFactor.HasNoMinimalProjection line 22

    Source documentation

    No nonzero projection is minimal, excluding matrix factors.

    Also declared: ComparatorChallenges/FiniteFactor.lean:22 (same declaration text).

    def HasNoMinimalProjection (M : VonNeumannAlgebra H) : Prop :=
    …
  4. def OAI.FiniteFactor.HasSeparablePredual line 27

    Source documentation

    A separable Banach space whose dual is conjugate-linearly isometric to M.

    Also declared: ComparatorChallenges/FiniteFactor.lean:27 (same declaration text).

    def HasSeparablePredual (M : VonNeumannAlgebra H) : Prop :=
    …
  5. def OAI.FiniteFactor.MainTarget line 32

    Also declared: ComparatorChallenges/FiniteFactor.lean:32 (same declaration text).