Equivariant maps and purely atomic spectrum
type: Item
instance of: scholarly article
title: Equivariant maps and purely atomic spectrum
zbMATH Open document ID: 0829.22017
author: Alessandra Iozzi
published in: Journal of Functional Analysis
publication date: 1994-12-20T00:00:00Z
review text: Let \(G\) be a connected semisimple Lie group with no compact factors and finite center and \(\Gamma \subset G\) an irreducible lattice. If \((X_1, \mu_1)\) and \((X_2, \mu_2)\) are \(G\)-spaces with finite invariant measures and the action of \(G\) has purely atomic spectrum (and is essentially free or essentially transitive) it is proved that every measure preserving \(\Gamma\)-map \(\varphi : X_1 \to X_2\) is also a \(G\)-map.
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 704485
zbMATH Keywords: measure preserving maps
zbMATH Keywords: connected semisimple Lie group
zbMATH Keywords: finite center
zbMATH Keywords: \(G\)-spaces
zbMATH Keywords: finite invariant measures
reviewed by: Kaarin Riives
MaRDI profile type: Publication
full work available at URL: jfan.1994.1106
OpenAlex ID: W2002111532
DOI: 10.1006/JFAN.1994.1106
description: scientific article; zbMATH DE number 704485