Aperiodicity and the primitive ideal space of a row-finite $k$-graph $C^*$-algebra
Operator Algebras
2012-07-31 v2
Abstract
We describe the primitive ideal space of the -algebra of a row-finite -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 -graph in question.
Keywords
Cite
@article{arxiv.1105.1208,
title = {Aperiodicity and the primitive ideal space of a row-finite $k$-graph $C^*$-algebra},
author = {Sooran Kang and David Pask},
journal= {arXiv preprint arXiv:1105.1208},
year = {2012}
}
Comments
23 pages. Updated 30th June, 2012