Ergodic actions of Abelian groups with a discrete spectrum, and approximate transitivity
type: Item
instance of: scholarly article
title: Ergodic actions of Abelian groups with a discrete spectrum, and approximate transitivity
zbMATH Open document ID: 0729.28013
DOI: 10.1007/BF01095414
published in: Journal of Soviet Mathematics
publication date: 1990-01-01T00:00:00Z
review text: The authors have studied ergodic actions of Abelian groups with discrete spectrum. They proved that if a locally compact separable Abelian group G acts transitively on the Lebesgue space, then it has a ``strange rank one''.
Mathematics Subject Classification ID: 28D15
Mathematics Subject Classification ID: 22D40
Mathematics Subject Classification ID: 46L55
zbMATH DE Number: 4204730
zbMATH Keywords: funny rank one
zbMATH Keywords: ergodic actions
zbMATH Keywords: Abelian groups
zbMATH Keywords: discrete spectrum
zbMATH Keywords: Lebesgue space
zbMATH Keywords: strange rank one
author: V. Ya. Golodets
author: Alexandre M. Sokhet
reviewed by: G. A. Soifer
MaRDI profile type: Publication
cites work: Approximately transitive flows and ITPFI factors
cites work: Transformations With Discrete Spectrum are Stacking Transformations
cites work: Ergodic transformation groups with a pure point spectrum
cites work: Q3229429
full work available at URL: https://doi.org/10.1007/bf01095414
OpenAlex ID: W2084216933
description: scientific article; zbMATH DE number 4204730