Article

A Structural Result of Irreducible Inclusions of Type III Lambda Factors, Lambda Is an Element of (0,1)

Proceedings of the American Mathematical Society
Document Type

Article
Publication Date

9-1-1998
Disciplines

Abstract

Given an irreducible inclusion of factors with finite index *N* ⊂ *M*, where *M* is of type IIIλ1/*m*, N of type IIIλ1/*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.

DOI

10.1090/S0002-9939-98-04349-4
Citation Information

Phan Loi. "A Structural Result of Irreducible Inclusions of Type III Lambda Factors, Lambda Is an Element of (0,1)" *Proceedings of the American Mathematical Society*Vol. 126 Iss. 9 (1998) p. 2651 - 2662 ISSN: 0002-9939

Available at: http://works.bepress.com/phan_loi/2/

First published in

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