Irreducible Hyperfinite Ii1 Subfactors: Powers’ Algebras

We construct a series of inclusions of hyperfinite subfactors Pi in the centralizer R of Powers’ IIIt factor, Pi+1 ⊂ Pi ⊂ R. It is proven that: ∀i ∈ N, P ′ i ∩R = C, [Pi : Pi+1] ≥ λ = (1 + t) t Via an outer action of Z2 on R, we also construct an inclusion of hyperfinite II1 factors, M3 ⊂ M1 with the index equal to λ, such that the relative commutant M1 ∩M ′ 3 is four dimensional.