Completion boundary for Zhou's Theorem A.
theorem
Connes.theoremA
(hEJZK : HasKazhdanPropertyT PaperPropertyT.elementaryGroup)
:
∃ (Γ₁ : CountableDiscreteGroup) (Γ₂ : CountableDiscreteGroup),
HasKazhdanPropertyT Γ₁ ∧ HasKazhdanPropertyT Γ₂ ∧ IsICC Γ₁ ∧ IsICC Γ₂ ∧ TracialGroupFactorsIsomorphic Γ₁ Γ₂ ∧ ¬Nonempty (Γ₁.Carrier ≃* Γ₂.Carrier)
Zhou's Theorem A. The only external mathematical input is the cited EJZK
property-(T) theorem for EL₃(𝔽₂[t]); every construction and all other
paper arguments are proved in this project. Paper: §7.