#### Document Type

Article

#### Publication Date

9-1998

#### Abstract

Given an irreducible inclusion of factors with finite index *N* ⊂ *M*, where *M* is of type III_{λ1/m}, N of type III_{λ1/n}, 0 < λ < 1, and *m*,*n* are relatively prime positive integers, we will prove that if *N* ⊂ *M* satisfies a commuting square condition, then its structure can be characterized by using fixed point algebras and crossed products of automorphisms acting on the middle inclusion of factors associated with *N* ⊂ *M*. Relations between *N* ⊂ *M* and a certain *G*-kernel on subfactors are also discussed.

#### Repository Citation

Loi, P.
(1998). A Structural Result of Irreducible Inclusions of Type III Lambda Factors, Lambda Is an Element of (0,1). *Proceedings of the American Mathematical Society, 126* (9), 2651-2662.

https://corescholar.libraries.wright.edu/math/39

#### DOI

10.1090/S0002-9939-98-04349-4

## Comments

First published in

Proceedings of the American Mathematical Society126.9 (1998), published by the American Mathematical Society.