An estimate of the depth from an intermediate subfactor
type: Item
instance of: scholarly article
title: An estimate of the depth from an intermediate subfactor
zbMATH Open document ID: 0831.46070
author: Jerzy Wierzbicki
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1995-07-24T00:00:00Z
review text: Summary: We show that for a triple \(K\subset N\subset M\) of type \(\text{II}_1\) factors the depth of the inclusion ``\(K\subset M\)'' is not greater than the maximum of depths of the inclusions ``\(K\subset N\)'' and ``\(N\subset M\)'', provided there is such a factor \(P\), that the diagram \(\begin{smallmatrix} P &\subset &M\\ \cup &&\cup\\ K &\subset &N\end{smallmatrix}\) is commuting and co-commuting square (or a non-degenerate commuting square) of type \(\text{II}_1\) factors.
Mathematics Subject Classification ID: 46L37
zbMATH DE Number: 777770
zbMATH Keywords: type \(\text{II}_ 1\) factors
zbMATH Keywords: depth of the inclusion
zbMATH Keywords: commuting and co- commuting square
zbMATH Keywords: non-degenerate commuting square
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195164950
OpenAlex ID: W2013981056
cites work: A note on intermediate subfactors
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DOI: 10.2977/PRIMS/1195164950
description: scientific article; zbMATH DE number 777770