The ideal structure of the C*-algebras of infinite graphs
Operator Algebras
2007-05-23 v1
Abstract
We classify the gauge-invariant ideals in the C*-algebras of infinite directed graphs, and describe the quotients as graph algebras. We then use these results to identify the gauge-invariant primitive ideals in terms of the structural properties of the graph, and describe the K-theory of the C*-algebras of arbitrary infinite graphs.
Keywords
Cite
@article{arxiv.math/0109142,
title = {The ideal structure of the C*-algebras of infinite graphs},
author = {Teresa Bates and Jeong Hee Hong and Iain Raeburn and Wojciech Szymanski},
journal= {arXiv preprint arXiv:math/0109142},
year = {2007}
}
Comments
14 pages