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Aperiodicity and primitive ideals of row-finite k-graphs

Journal Article


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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.

Publication Date


  • 2014

Citation


  • 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.

Scopus Eid


  • 2-s2.0-84898539367

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3352&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2343

Start Page


  • 145022-1

End Page


  • 145022-25

Volume


  • 25

Issue


  • 3

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.

Publication Date


  • 2014

Citation


  • 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.

Scopus Eid


  • 2-s2.0-84898539367

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3352&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2343

Start Page


  • 145022-1

End Page


  • 145022-25

Volume


  • 25

Issue


  • 3