Groups with simple reduced \(C^*\)-algebras
type: Item
instance of: scholarly article
title: Groups with simple reduced \(C^*\)-algebras
zbMATH Open document ID: 0966.46032
published in: Expositiones Mathematicae
publication date: 2001-08-20T00:00:00Z
review text: Consider one infinite conjugacy class group \(\Gamma\) and a subgroup \(\Gamma_0\) of finite index. It is shown that if one of the reduced \(C^*\)-algebras \(C^*_\lambda(\Gamma)\) and \(C^*_\lambda(\Gamma_0)\) is simple, the other is also simple. If one of them has a unique tracial state, the other has such one, too. The main ingredient of the proof is a 1977 theorem of D. Poguntke.
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 1485085
zbMATH Keywords: infinite conjugacy class group
zbMATH Keywords: subgroup
zbMATH Keywords: finite index
zbMATH Keywords: reduced \(C^*\)-algebras
author: Bachir Bekka
author: Pierre de la Harpe
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1485085