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The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources

Journal Article


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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.

Authors


  •   Carlsen, Toke Meier. (external author)
  •   Kang, Sooran (external author)
  •   Shotwell, Jacob (external author)
  •   Sims, Aidan D.

Publication Date


  • 2014

Citation


  • Carlsen, T. M., Kang, S., Shotwell, J. & Sims, A. (2014). The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources. Journal of Functional Analysis, 266 (4), 2570-2589.

Scopus Eid


  • 2-s2.0-84892487816

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3048&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2039

Has Global Citation Frequency


Number Of Pages


  • 19

Start Page


  • 2570

End Page


  • 2589

Volume


  • 266

Issue


  • 4

Place Of Publication


  • United States

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.

Authors


  •   Carlsen, Toke Meier. (external author)
  •   Kang, Sooran (external author)
  •   Shotwell, Jacob (external author)
  •   Sims, Aidan D.

Publication Date


  • 2014

Citation


  • Carlsen, T. M., Kang, S., Shotwell, J. & Sims, A. (2014). The primitive ideals of the Cuntz-Krieger algebra of a row-finite higher-rank graph with no sources. Journal of Functional Analysis, 266 (4), 2570-2589.

Scopus Eid


  • 2-s2.0-84892487816

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3048&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2039

Has Global Citation Frequency


Number Of Pages


  • 19

Start Page


  • 2570

End Page


  • 2589

Volume


  • 266

Issue


  • 4

Place Of Publication


  • United States