OAI/Analysis/KadisonKastler/ConjugateAlgebraSimplicity.lean

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3 declarations, 0 contain sorry, 0 declared as axioms

Simplicity under Hilbert conjugation

A conjugate-linear Hilbert involution gives an isometric ring equivalence on its concrete algebra image. Closed two-sided ideals therefore correspond.

  1. def OAI.KadisonKastler.conjugateAlgebraRingEquiv line 18
  2. theorem OAI.KadisonKastler.conjugateAlgebraRingEquiv_isometry line 31
  3. theorem OAI.KadisonKastler.cstarSimple_conjugateAlgebra line 39