Aperiodicity and primitive ideals of row-finite k-graphs

Authors

Sooran Kang, University of OtagoFollow
David Pask, University of WollongongFollow

RIS ID

89619

Publication Details

Kang, S. & Pask, D. A. (2014). Aperiodicity and primitive ideals of row-finite k-graphs. International Journal of Mathematics, 25 (3), 145022-1-145022-25.

Abstract

We describe the primitive ideal space of the C*-algebra of a row-finite k-graph with no sources when every ideal is gauge invariant. We characterize which spectral spaces can occur, and compute the primitive ideal space of two examples. In order to do this we prove some new results on aperiodicity. Our computations indicate that when every ideal is gauge invariant, the primitive ideal space only depends on the 1-skeleton of the k-graph in question. 2014 World Scientific Publishing Company.