Strength of convergence in non-free transformation groups
type: Item
instance of: scholarly article
title: Strength of convergence in non-free transformation groups
zbMATH Open document ID: 1252.22013
author: Astrid an Huef
author: Robert J. Archbold
published in: Journal of Functional Analysis
publication date: 2012-08-24T00:00:00Z
full work available at URL: https://arxiv.org/abs/1111.4282
review text: For a continuous action of a second-countable, locally compact group, the authors study the extent to which this action may fail to be proper. Stability subgroups are used to define new notions of \textit{strength of convergence} in the orbit space and of \textit{measure accumulation} along orbits. By using the representation theory of the associated crossed product \(C^*\)-algebra, the authors show that these notions are equivalent under certain conditions.
reviewed by: Vladimir M. Manuilov
Mathematics Subject Classification ID: 22F05
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 22D25
zbMATH DE Number: 6071585
zbMATH Keywords: transformation group
zbMATH Keywords: stability subgroup
zbMATH Keywords: proper action
zbMATH Keywords: measure accumulation
zbMATH Keywords: crossed product \(C^*\)-algebra
MaRDI profile type: Publication
OpenAlex ID: W2963816743
arXiv ID: 1111.4282
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DOI: 10.1016/J.JFA.2012.05.005
description: scientific article; zbMATH DE number 6071585