OAI/Analysis/FiniteFactor/Diffuse/TracePowers.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.Nonhyperlinear.Diffuseness.trace_defect_powline 12Source documentation
Cyclicity equates every polynomial defect moment; no spectral assumption is used.
theorem trace_defect_pow {A:Type*} [Ring A] [Algebra ℂ A] (f:A→ₗ[ℂ]ℂ) (hf:∀a b,f (a*b)=f (b*a)) (a b:A) (n:ℕ) : f ((1-a*b)^n)=f ((1-b*a)^n) := by …