A Structural Result of Irreducible Inclusions of Type III Lambda Factors, Lambda Is an Element of (0,1)Proceedings of the American Mathematical Society
AbstractGiven 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.
Citation InformationPhan 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/