Generalized inductive limits of finite-dimensional \(C^*\)-algebras
type: Item
instance of: scholarly article
title: Generalized inductive limits of finite-dimensional \(C^*\)-algebras
zbMATH Open document ID: 0874.46036
author: Eberhard Kirchberg
author: Bruce Blackadar
published in: Mathematische Annalen
publication date: 1997-08-14T00:00:00Z
review text: Several variations of a generalized inductive limit construction for \(C^*\)-algebras are examined, and the \(C^*\)-algebras which can be written as generalized inductive limits of finite-dimensional \(C^*\)-algebras in the various senses are characterized. The descriptions are closely related to the notions of nuclearity and quasidiagonality for \(C^*\)-algebras.
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46M40
Mathematics Subject Classification ID: 47A66
Mathematics Subject Classification ID: 46L85
zbMATH DE Number: 1031537
zbMATH Keywords: generalized inductive limit construction for \(C^*\)-algebras
zbMATH Keywords: generalized inductive limits of finite-dimensional \(C^*\)-algebras
zbMATH Keywords: nuclearity
zbMATH Keywords: quasidiagonality
MaRDI profile type: Publication
full work available at URL: s002080050039
OpenAlex ID: W2046195007
DOI: 10.1007/S002080050039
description: scientific article; zbMATH DE number 1031537