All extensions of \(C^*_r(\mathbb F_n)\) are semi-invertible
type: Item
instance of: scholarly article
title: All extensions of \(C^*_r(\mathbb F_n)\) are semi-invertible
zbMATH Open document ID: 1151.46040
author: Klaus Thomsen
published in: Mathematische Annalen
publication date: 2008-09-09T00:00:00Z
review text: \textit{V. Manuilov} [Bull. Lond. Math. Soc. 40, No. 5, 838--844 (2008; Zbl 1159.22002)] conjectured that all extensions of the reduced group \(C^*\)-algebra \(C_r^*({\mathbb F}_2)\) of the free group \({\mathbb F}_2\) by compact operators are semi-invertible. In this paper, the author proves this conjecture for \(C_r^*({\mathbb F}_n)\).
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 22D25
Mathematics Subject Classification ID: 19K33
Mathematics Subject Classification ID: 46L06
zbMATH DE Number: 5323296
zbMATH Keywords: Calkin algebra
zbMATH Keywords: reduced group \(C^*\)-algebra
zbMATH Keywords: free group
zbMATH Keywords: semi-invertible
zbMATH Keywords: asymptotically split
zbMATH Keywords: split extension
zbMATH Keywords: strongly homotopic
MaRDI profile type: Publication
full work available at URL: s00208-008-0232-5
OpenAlex ID: W2063718222
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DOI: 10.1007/S00208-008-0232-5
description: scientific article; zbMATH DE number 5323296