Entropy for canonical shifts. II
type: Item
instance of: scholarly article
title: Entropy for canonical shifts. II
zbMATH Open document ID: 0765.46047
author: Marie Choda
author: Fumio Hiai
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1992-09-26T00:00:00Z
review text: Let \(N\subset M\) be a pair of \(\sigma\)-finite factors. Given a conditional expectation \(E: M\to N\) with finite index, let \(A\) be the von Neumann algebra generated by the tower of relative commutants in the basic constructions iterated from \(E\). The authors define the canonical shifts \(\Gamma\) on \(A\) and study the entropy of \(\Gamma\) and the entropy of \(A\) relative to \(\Gamma(A)\), and also, their relationship with the minimum index \([M:N]_ 0\).
Mathematics Subject Classification ID: 46L37
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 46L40
Mathematics Subject Classification ID: 28D20
zbMATH DE Number: 55944
zbMATH Keywords: conditional expectation
zbMATH Keywords: von Neumann algebra generated by the tower of relative commutants
zbMATH Keywords: canonical shifts
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195169664
OpenAlex ID: W2062441600
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DOI: 10.2977/PRIMS/1195169664
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description: scientific article; zbMATH DE number 55944