On the \(K\)-theory of \(C^\ast\)-algebras associated with \(n\)-simplexes
type: Item
instance of: scholarly article
zbMATH Open document ID: 1267.46080
author: Saleh Omran
author: Gh. Y. Gouda
publication date: 2012-09-11T00:00:00Z
full work available at URL: index.html
Mathematics Subject Classification ID: 46L80
zbMATH DE Number: 6081050
zbMATH Keywords: \(K\)-theory
zbMATH Keywords: filtration
MaRDI profile type: Publication
title: On the \(K\)-theory of \(C^\ast\)-algebras associated with \(n\)-simplexes
published in: International Journal of Mathematical Analysis (Ruse)
review text: J. Cuntz defined noncommutative \(C^\ast\)-algebras for simplicial (flag) complexes and related these to the Baum-Connes assembly map for a discrete group. These \(C^\ast\)-algebras have a rich ideal structure related to the combinatorics of the underlying simplicial complex. This leads to a filtration with less complicated subquotients and suggests a way to compute the \(K\)-theory of these \(C^\ast\)-algebras. This article computes the \(K\)-theory of some of these algebras and of some of their subquotients in this way. The methods are elementary.
reviewed by: Ralf Meyer
description: scientific article; zbMATH DE number 6081050