Positive definite class functions on a topological group and characters of factor representations
type: Item
instance of: scholarly article
title: Positive definite class functions on a topological group and characters of factor representations
zbMATH Open document ID: 1096.22005
author: Takeshi Hirai
author: Etsuko Hirai
published in: Journal of Mathematics of Kyoto University
publication date: 2006-03-23T00:00:00Z
review text: This paper concerns the general theory of representations of a Hausdorff topological group \(G\). It consists of two parts. The first one is dedicated to the study of continuous positive definite functions \(f\in {\mathcal{P}}(G)\) on \(G\) and continuous unitary representations \((=UR)\) \(\pi\) of \(G\). The second part deals with several weak topologies and also the compact uniform topology on \({\mathcal{P}}(G)\) and some of its subsets. The authors establish three important theorems (Theorems A, B, D) (note that for a fourth one (Theorem C), a counterexample was found).
Mathematics Subject Classification ID: 22A25
zbMATH DE Number: 5014810
zbMATH Keywords: Hausdorff topological group
zbMATH Keywords: factor representation
reviewed by: Neculai Papaghiuc
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1215/kjm/1250281995
OpenAlex ID: W1572056726
DOI: 10.1215/KJM/1250281995
description: scientific article; zbMATH DE number 5014810