Vol. 165, No. 2, 1994

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On the derived towers of certain inclusions of type IIIλ factors of index 4

Phan Hung Loi

Vol. 165 (1994), No. 2, 321–345
Abstract

Given an inclusion of type IIIλ factors, λ0,1, of index 4 and with a common discrete decomposition, we compute the principal graph of its derived tower based on that on the associated type II1 inclusion. Applications to the classification problem of hyperfinite type IIIλ subfactors are discussed.

Mathematical Subject Classification 2000
Primary: 46L37
Secondary: 46L40
Milestones
Received: 5 November 1991
Revised: 25 March 1992
Accepted: 15 June 1992
Published: 1 October 1994
Authors
Phan Hung Loi