A note on the approximation entropies of certain shifts
type: Item
instance of: scholarly article
title: A note on the approximation entropies of certain shifts
zbMATH Open document ID: 0898.46058
author: Kiichi Nishiuchi
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1998-02-11T00:00:00Z
review text: Summary: Voiculescu has proposed several routes to quantum entropies. Among them, the notion of the ``approximation entropies'' is a group of four entropies with similar definitions, based on two kinds of approximations. The \(C^*\)-cases are extensions of the classical topological entropy and the \(W^*\)-cases are those of the measure-theoretic one. In this paper, we will focus on the approximation entropies and investigate the entropies of Powers' binary shifts with some condition and the Jones shifts.
Mathematics Subject Classification ID: 46L55
zbMATH DE Number: 1117527
zbMATH Keywords: approximation entropies
zbMATH Keywords: quantum entropies
zbMATH Keywords: Powers' binary shifts
zbMATH Keywords: Jones shifts
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195145318
OpenAlex ID: W2001301041
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DOI: 10.2977/PRIMS/1195145318
description: scientific article; zbMATH DE number 1117527