Inclusion of type III factors constructed from ergodic flows
type: Item
instance of: scholarly article
title: Inclusion of type III factors constructed from ergodic flows
zbMATH Open document ID: 0698.46054
author: Toshihiro Hamachi
author: Hideki Kosaki
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
review text: The main result in this paper is the following: Let \((F_ t,Y)\), \((S_ t,Z)\) be conservative ergodic flows. Assume that a flow \((T_ t,X)\) is a common finite extension of \((F_ t,Y)\) and \((S_ t,Z)\). Then one can construct factors M, N of type III with \(M\geq N\) and a normal expectation from M onto N with finite index such that \((F_ t,Y)\), \((S_ t,Z)\) are the flows of weights of M and N respectively. This is a converse of a result in Proc. Japan Acad., Ser. A 64, 11-13 (1988; Zbl 0643.46044) by the same authors.
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 46L10
zbMATH DE Number: 4144753
zbMATH Keywords: conservative ergodic flows
zbMATH Keywords: common finite extension
zbMATH Keywords: finite index
reviewed by: Yiu-Tung Poon
MaRDI profile type: Publication
full work available at URL: pjaa.64.195
OpenAlex ID: W2009757015
cites work: The flow of weights on factors of type III
cites work: The normalizer group of an ergodic automorphism of type III and the commutant of an ergodic flow
cites work: Index and flow of weights of factors of type III
cites work: Index for subfactors
cites work: Extension of Jones' theory on index of arbitrary factors
cites work: Q986307
DOI: 10.3792/PJAA.64.195
description: scientific article; zbMATH DE number 4144753