Rieffel proper actions
type: Item
instance of: scholarly article
title: Rieffel proper actions
zbMATH Open document ID: 1389.46083
author: Alcides Buss
author: Siegfried Echterhoff
published in: Journal of Operator Theory
publication date: 2016-12-01T00:00:00Z
full work available at URL: https://arxiv.org/abs/1409.3977
Mathematics Subject Classification ID: 46L55
Mathematics Subject Classification ID: 22D35
zbMATH DE Number: 6658769
zbMATH Keywords: proper actions
zbMATH Keywords: crossed products
zbMATH Keywords: fixed-point algebras
MaRDI profile type: Publication
OpenAlex ID: W2963137978
arXiv ID: 1409.3977
DOI: 10.7900/JOT.2014OCT28.2047
review text: The starting point of this work is a paper by \textit{M. A. Rieffel} [Prog. Math. 84, 141--182 (1991; Zbl 0749.22003)] where a notion of properness for actions of locally compact groups on \(C^\ast\)-algebras is introduced. This concept leads to the construction of generalized fixed-point algebras associated to such actions. The aim of the work under review is to present a characterization of Rieffel proper actions. Some included examples show that a given action might carry different structures for the Rieffel properness, having different generalized fixed-point algebras.
reviewed by: Florian-Horia Vasilescu
description: scientific article; zbMATH DE number 6658769