Some asymptotic properties of \(W^*\)-dynamical systems
type: Item
instance of: scholarly article
title: Some asymptotic properties of \(W^*\)-dynamical systems
zbMATH Open document ID: 0862.46039
DOI: 10.1007/BF01080011
publication date: 1996-03-24T00:00:00Z
review text: Given a \(W^*\)-dyamical system \(({\mathcal M},\omega,\tau)\), the introduction of its endomorphy subalgebra (which turns out to be the subalgebra of fixed points of \({\mathcal M}\) under the \(\tau^+_t \tau_t\)) allows to define a notion of asymptotic endomorphy, generalizing the ones of asymptotic automorphy and asymptotic normality. The study of the case when \(({\mathcal M},\omega,\tau)\) is a Clifford flow of shifts allows to show the substantial difference between these properties.
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 47A40
zbMATH DE Number: 859612
zbMATH Keywords: \(W^*\)-dyamical system
zbMATH Keywords: endomorphy subalgebra
zbMATH Keywords: subalgebra of fixed points
zbMATH Keywords: asymptotic endomorphy
zbMATH Keywords: asymptotic automorphy
zbMATH Keywords: asymptotic normality
zbMATH Keywords: Clifford flow of shifts
author: Andrey V. Bulinski
reviewed by: G. Loupias
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01080011
OpenAlex ID: W2320637620
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 859612