Graph \(C^*\)-algebras with real rank zero
type: Item
instance of: scholarly article
title: Graph \(C^*\)-algebras with real rank zero
zbMATH Open document ID: 1014.46029
author: Gi Hyun Park
author: Ja A Jeong
published in: Journal of Functional Analysis
publication date: 2002-07-04T00:00:00Z
review text: A unital \(C^*\)-algebra is said to have real rank zero if the set of invertible self-adjoint elements is dense in the set of all self-adjoint elements. Let \(C^*(E)\) be a graph \(C^*\)-algebra associated to a row-finite directed graph \(E\). In this paper, the authors show that \(C^*(E)\) has real rank zero if and only if \(E\) satisfies a certain loop condition (K).
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 1763772
zbMATH Keywords: real rank zero
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
full work available at URL: jfan.2001.3830
OpenAlex ID: W1992387954
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DOI: 10.1006/JFAN.2001.3830
description: scientific article; zbMATH DE number 1763772