Stability of C*-algebras associated to graphs
Operator Algebras
2007-05-23 v2
Abstract
We characterize stability of graph C*-algebras by giving five conditions equivalent to their stability. We also show that if G is a graph with no sources, then C*(G) is stable if and only if each vertex in G can be reached by an infinite number of vertices. We use this characterization to realize the stabilization of a graph C*-algebra. Specifically, if G is a graph and F is the graph formed by adding a head to each vertex of G, then C*(F) is the stabilization of C*(G).
Keywords
Cite
@article{arxiv.math/0205166,
title = {Stability of C*-algebras associated to graphs},
author = {Mark Tomforde},
journal= {arXiv preprint arXiv:math/0205166},
year = {2007}
}
Comments
9 pages