Commuting squares and the classification of finite depth inclusions of AFD type IIIλ factors, λ∈ (0, 1)

Phan H. Loi

doi:10.2977/prims/1195144756

Commuting squares and the classification of finite depth inclusions of AFD type IIIλ factors, λ∈ (0, 1)

Phan H. Loi

Mathematics and Statistics

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Abstract

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

Original language	American English
Pages (from-to)	115-122
Number of pages	8
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	34
Issue number	2
DOIs	https://doi.org/10.2977/prims/1195144756
State	Published - Jan 1 1998

Disciplines

Applied Mathematics
Applied Statistics

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10.2977/prims/1195144756License: CC BY

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

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N2 - We give a new proof of the classification result due to Sorin Popa that a finite depth inclusion of AFD type IIIλ factors N⊂M, λ∈ (0, 1), with a common discrete decomposition {N∞ ⊂ M∞, θ} is classified, up to isomorphism, by the type II core N∞ ⊂ M∞ and the standard invariant of θ.

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

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Commuting squares and the classification of finite depth inclusions of AFD type III<sub>λ</sub> factors, λ∈ (0, 1)

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