On the Derived Towers of Certain Inclusions of Type IIIλ Factors of Index 4

Phan H. Loi

doi:10.2140/pjm.1994.165.321

On the Derived Towers of Certain Inclusions of Type IIIλ Factors of Index 4

Phan H. Loi

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

Given an inclusion of type III_λ factors, λ ≠ 0,1, of index 4 and with a common discrete decomposition, we compute the principal graph of its derived tower based on that on the associated type II₁ inclusion. Applications to the classification problem of hyperfinite type III_λsubfactors are discussed. © 1994 by Pacific Journal of Mathematics.

Original language	American English
Pages (from-to)	321-345
Number of pages	29
Journal	Pacific Journal of Mathematics
Volume	165
Issue number	2
DOIs	https://doi.org/10.2140/pjm.1994.165.321
State	Published - Jan 1 1994

Disciplines

Applied Mathematics
Applied Statistics
Mathematics

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title = "On the Derived Towers of Certain Inclusions of Type IIIλ Factors of Index 4",

abstract = " Given an inclusion of type IIIλ factors, λ ≠ 0,1, of index 4 and with a common discrete decomposition, we compute the principal graph of its derived tower based on that on the associated type II1 inclusion. Applications to the classification problem of hyperfinite type IIIλ subfactors are discussed. {\textcopyright} 1994 by Pacific Journal of Mathematics.",

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year = "1994",

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doi = "10.2140/pjm.1994.165.321",

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AB - Given an inclusion of type IIIλ factors, λ ≠ 0,1, of index 4 and with a common discrete decomposition, we compute the principal graph of its derived tower based on that on the associated type II1 inclusion. Applications to the classification problem of hyperfinite type IIIλ subfactors are discussed. © 1994 by Pacific Journal of Mathematics.

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DO - 10.2140/pjm.1994.165.321

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EP - 345

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

On the Derived Towers of Certain Inclusions of Type <em>III<sub>λ</sub></em> Factors of Index 4

Abstract

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