File size: 474 Bytes
67aee1d | 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 Mathlib
import OAI.Analysis.FreeWords.TraceTransferDefinitions
namespace OAI
noncomputable section
namespace KKTraceTransfer
noncomputable section
variable {H : Type*} [NormedAddCommGroup H] [InnerProductSpace ℂ H] [CompleteSpace H]
def amplifiedTrace (M : VonNeumannAlgebra H) (τ : FaithfulNormalTrace M) (n : ℕ)
(x : Matrix (Fin n) (Fin n) (ConcreteAlgebra M)) : ℂ :=
(n : ℂ)⁻¹ * ∑ i, τ.map (x i i)
end
end KKTraceTransfer
end
end OAI
|