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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
  • Phan Loi, Wright State University - Main Campus
Document Type
Article
Publication Date
9-1-1998
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.
Comments

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

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/