Generators in \(\mathcal{Z}\)-stable \(C^{\ast}\)-algebras of real rank zero
type: Item
instance of: scholarly article
title: Generators in \(\mathcal{Z}\)-stable \(C^{\ast}\)-algebras of real rank zero
DOI: 10.4171/JNCG/454
author: Hannes Thiel
published in: Journal of Noncommutative Geometry
publication date: 2023-04-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/2006.08404
review text: Summary: We show that every separable \(C^{\ast}\)-algebra of real rank zero that tensorially absorbs the Jiang-Su algebra contains a dense set of generators. It follows that, in every classifiable, simple, nuclear \(C^{\ast}\)-algebra, a generic element is a generator.
Mathematics Subject Classification ID: 46L05
Mathematics Subject Classification ID: 46L85
zbMATH DE Number: 7674621
zbMATH Keywords: \(C^{\ast}\)-algebras
zbMATH Keywords: generator rank
zbMATH Keywords: real rank
zbMATH Keywords: generator problem
zbMATH Keywords: single generation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7674621