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

Authors

Toke Meier Carlsen, University of the Faroe IslandsFollow
Aidan Sims, University of WollongongFollow

RIS ID

109118

Publication Details

Carlsen, T. M. & Sims, A. (2016). On Hong and Szymański's description of the primitive-ideal space of a graph algebra. In T. M. Carlsen, N. S. Larsen, S. Neshveyev & C. Skau (Eds.), Operator Algebras and Applications: The Abel Symposium 2015 (pp. 109-126). Switzerland: Springer.

Abstract

In 2004, Hong and Szymański produced 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.

Grant Number

ARC/DP150101598

Additional Grant Number

http://purl.org/au-research/grants/ARC/DP150101598