Minimal primal and Glimm ideal spaces of group \(C^*\)-algebras
type: Item
instance of: scholarly article
title: Minimal primal and Glimm ideal spaces of group \(C^*\)-algebras
zbMATH Open document ID: 0923.46054
author: Keith F. Taylor
author: Eberhard Kaniuth
author: G. Schlichting
published in: Journal of Functional Analysis
publication date: 1999-10-25T00:00:00Z
review text: For a locally compact group, a full understanding of its representation theory needs an understanding of the associated full and reduced group \(C^*\)-algebras. Motivated by the work of \textit{R. J. Archbold} [J. Lond. Math. Soc., II. Ser. 35, 524-542 (1987; Zbl 0613.46048)], the authors of this paper give a deepgoing discussion on the minimal primal and the Glimm ideal spaces of group \(C^*\)-algebras. Some interesting examples are given, the class of [SIN]-groups (which includes all discrete groups), motion groups, and groups of the form \(\mathbb{R}^n\rtimes \mathbb{R}\) are studied.
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46L30
zbMATH DE Number: 764038
zbMATH Keywords: full and reduced group \(C^*\)-algebras
zbMATH Keywords: Glimm ideal
zbMATH Keywords: [SIN]-groups
reviewed by: Jinchuan Hou
MaRDI profile type: Publication
full work available at URL: jfan.1995.1063
OpenAlex ID: W2013545740
DOI: 10.1006/JFAN.1995.1063
description: scientific article; zbMATH DE number 764038