Construction of a canonical subfactor for an inclusion of factors with a common Cartan sub\-algebra
type: Item
instance of: scholarly article
title: Construction of a canonical subfactor for an inclusion of factors with a common Cartan sub\-algebra
zbMATH Open document ID: 1035.46041
author: Hisashi Aoi
author: Takehiko Yamanouchi
published in: Hokkaido Mathematical Journal
publication date: 2003-10-12T00:00:00Z
review text: It is shown that, for, any inclusion of (separable) factors \(N \subseteq M\) of finite Jones index possessing a common Cartan subalgebra, there exists a subfactor \(L\) of \(N\), an outer action \(\beta\) of a finite group \(G\) on \(L\) and a subgroup \(H\) of \(G\) such that (\(N \subseteq M\)) is isomorphic to (\(L \rtimes_\beta H \subseteq L \rtimes_\beta G\)). The authors given an application of the result stated above concerning a minimal action of a finite-dimensional Kac algebra on a factor.
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 37A20
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 46L37
zbMATH DE Number: 1990096
zbMATH Keywords: Cartan algebras
zbMATH Keywords: measured equivalence relation
zbMATH Keywords: Jones index
zbMATH Keywords: regular extension
reviewed by: Sh. A. Ayupov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1350652424
OpenAlex ID: W1965999819
DOI: 10.14492/HOKMJ/1350652424
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description: scientific article; zbMATH DE number 1990096