On the \(K\)-theory of \(C^\ast\)-algebras associated with \(n\)-simplexes (Q2910706)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the \(K\)-theory of \(C^\ast\)-algebras associated with \(n\)-simplexes |
scientific article; zbMATH DE number 6081050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(K\)-theory of \(C^\ast\)-algebras associated with \(n\)-simplexes |
scientific article; zbMATH DE number 6081050 |
Statements
11 September 2012
0 references
\(K\)-theory
0 references
filtration
0 references
On the \(K\)-theory of \(C^\ast\)-algebras associated with \(n\)-simplexes (English)
0 references
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.
0 references
