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9eeb9c7 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 | import OAI.Analysis.IrrationalRotation.Operators.TracialDirectFiniteness
import OAI.Analysis.IrrationalRotation.Rotation.RotationTrace
import OAI.Analysis.IrrationalRotation.Product.ProductTracialVector
namespace OAI
noncomputable section
namespace Invariant233
theorem Rotation.algebra_isDedekindFiniteMonoid (θ : ℝ) :
IsDedekindFiniteMonoid (Rotation.algebra θ) :=
(Rotation.vacuum_faithfulTracial θ).isDedekindFiniteMonoid
theorem ProductModel.factor_isDedekindFiniteMonoid (θ : ℕ → ℝ) :
IsDedekindFiniteMonoid (ProductModel.factor θ) :=
(ProductModel.traceVector_faithfulTracial θ).isDedekindFiniteMonoid
end Invariant233
end
end OAI
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