The prime spectrum and primitive ideal space of a graph C*-algebra
Operator Algebras
2014-06-17 v2
Abstract
We describe primitive and prime ideals in the C*-algebra C*(E) of a graph E satisfying Condition (K), together with the topologies on each of these spaces. In particular, we find that primitive ideals correspond to the set of maximal tails disjoint union the set of finite-return vertices, and that prime ideals correspond to the set of clusters of maximal tails disjoint union the set of finite-return vertices.
Cite
@article{arxiv.1402.6020,
title = {The prime spectrum and primitive ideal space of a graph C*-algebra},
author = {Gene Abrams and Mark Tomforde},
journal= {arXiv preprint arXiv:1402.6020},
year = {2014}
}
Comments
Version II Comments: Some small typos corrected, and two references added. This is the version that will be published