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.