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Ultragraph C*-algebras via topological quivers

Journal Article


Abstract


  • Given an ultragraph in the sense of Tomforde, we construct a topological

    quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras

    associated to the two objects coincide. We apply results of Muhly and Tomforde for

    topological quiver algebras and of Katsura for topological graph C*-algebras to study the

    K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.

UOW Authors


  •   Katsura, Takeshi (external author)
  •   Muhly, Paul S. (external author)
  •   Sims, Aidan
  •   Tomforde, Mark (external author)

Publication Date


  • 2008

Citation


  • Katsura, T., Muhly, P. S., Sims, A. D. & Tomforde, M. (2008). Ultragraph C*-algebras via topological quivers. Studia Mathematica, 187 (2), 137-155.

Scopus Eid


  • 2-s2.0-49649096648

Ro Metadata Url


  • http://www.uow.edu.au/~asims/papers/KMST2008.pdf

Number Of Pages


  • 18

Start Page


  • 137

End Page


  • 155

Volume


  • 187

Issue


  • 2

Place Of Publication


  • http://journals.impan.gov.pl/sm/

Abstract


  • Given an ultragraph in the sense of Tomforde, we construct a topological

    quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras

    associated to the two objects coincide. We apply results of Muhly and Tomforde for

    topological quiver algebras and of Katsura for topological graph C*-algebras to study the

    K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.

UOW Authors


  •   Katsura, Takeshi (external author)
  •   Muhly, Paul S. (external author)
  •   Sims, Aidan
  •   Tomforde, Mark (external author)

Publication Date


  • 2008

Citation


  • Katsura, T., Muhly, P. S., Sims, A. D. & Tomforde, M. (2008). Ultragraph C*-algebras via topological quivers. Studia Mathematica, 187 (2), 137-155.

Scopus Eid


  • 2-s2.0-49649096648

Ro Metadata Url


  • http://www.uow.edu.au/~asims/papers/KMST2008.pdf

Number Of Pages


  • 18

Start Page


  • 137

End Page


  • 155

Volume


  • 187

Issue


  • 2

Place Of Publication


  • http://journals.impan.gov.pl/sm/