9
views
0
recommends
+1 Recommend
0 collections
0
shares
• Record: found
• Abstract: found
• Article: found
Is Open Access

# A class of $$C^*$$-algebras generalizing both graph algebras and homeomorphism $$C^*$$-algebras IV, pure infiniteness

Preprint

Bookmark
There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

### Abstract

This is the final one in the series of papers where we introduce and study the $$C^*$$-algebras associated with topological graphs. In this paper, we get a sufficient condition on topological graphs so that the associated $$C^*$$-algebras are simple and purely infinite. Using this result, we give one method to construct all Kirchberg algebras as $$C^*$$-algebras associated with topological graphs.

### Author and article information

###### Journal
15 September 2005
math/0509343