On Hong and Szymanski's description of the primitive-ideal space of a graph algebra

Abstract

In 2004, Hong and Szymanski gave a complete description of the primitive-ideal space of the C*-algebra of a directed graph. This article details a slightly different approach, in the simpler context of row-finite graphs with no sources, obtaining an explicit description of the ideal lattice of a graph algebra.

17 pages. Version II Comments: Lemma 3.4, three references and a few remarks have been added. Some typos have been corrected as well. This is the version that will be published; V3: corrected error in Lemma 3.5 in v2 (which is also the published version) and added a remark to explain the error and the correction

References in corpus (1)

• The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources

Cited by in corpus (2)

• Condition (K) for Boolean dynamical systems
• The Jacobson topology of the primitive ideal space of self-similar k-graph C*-algebras