JournalsprimsVol. 34, No. 2pp. 115–122

Commuting Squares and the Classification of Finite Depth Inclusions of AFD Type III<sub>λ</sub> Factors, λ ∈ (0, 1)

  • Phan H. Loi

    Wright State University, Dayton, USA
Commuting Squares and the Classification of Finite Depth Inclusions of AFD Type III<sub>λ</sub> Factors, λ ∈ (0, 1) cover
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Abstract

We give a new proof of the classification result due to Sorm Popa that a finite depth inclusion of AFD type IIIλ factors N ⊂ _M_Al, λ ∈ (0, 1), with a common discrete decomposition {_N_∞ ⊂ _M_∞, θ} is classified, up to isomorphism, by the type II core i>N∞ ⊂ _M_∞ and the standard invariant of θ.

Cite this article

Phan H. Loi, Commuting Squares and the Classification of Finite Depth Inclusions of AFD Type III<sub>λ</sub> Factors, λ ∈ (0, 1). Publ. Res. Inst. Math. Sci. 34 (1998), no. 2, pp. 115–122

DOI 10.2977/PRIMS/1195144756