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

Authors

Phan Loi, Wright State University - Main CampusFollow

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.

Comments

First published in Proceedings of the American Mathematical Society 126.9 (1998), published by the American Mathematical Society.

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