Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590581 | Journal of Functional Analysis | 2014 | 20 Pages |
Abstract
We catalogue the primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources. Each maximal tail in the vertex set has an abelian periodicity group of finite rank at most that of the graph; the primitive ideals in the Cuntz-Krieger algebra are indexed by pairs consisting of a maximal tail and a character of its periodicity group. The Cuntz-Krieger algebra is primitive if and only if the whole vertex set is a maximal tail and the graph is aperiodic.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Toke Meier Carlsen, Sooran Kang, Jacob Shotwell, Aidan Sims,