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Group actions on labeled graphs and their C*-algebras

Journal Article


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Abstract


  • We introduce the notion of the action of a group on a

    labeled graph and the quotient object, also a labeled graph. We

    define a skew product labeled graph and use it to prove a version

    of the Gross–Tucker theorem for labeled graphs. We then apply

    these results to the C∗-algebra associated to a labeled graph and

    provide some applications in non-Abelian duality.

Authors


  •   Bates, Teresa G. (external author)
  •   Pask, David A.
  •   Willis, P (external author)

Publication Date


  • 2014

Citation


  • Bates, T., Pask, D. & Willis, P. (2014). Group actions on labeled graphs and their C*-algebras. Illinois Journal of Mathematics, 56 (4), 1149-1168.

Scopus Eid


  • 2-s2.0-84899877710

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3365&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2356

Number Of Pages


  • 19

Start Page


  • 1149

End Page


  • 1168

Volume


  • 56

Issue


  • 4

Abstract


  • We introduce the notion of the action of a group on a

    labeled graph and the quotient object, also a labeled graph. We

    define a skew product labeled graph and use it to prove a version

    of the Gross–Tucker theorem for labeled graphs. We then apply

    these results to the C∗-algebra associated to a labeled graph and

    provide some applications in non-Abelian duality.

Authors


  •   Bates, Teresa G. (external author)
  •   Pask, David A.
  •   Willis, P (external author)

Publication Date


  • 2014

Citation


  • Bates, T., Pask, D. & Willis, P. (2014). Group actions on labeled graphs and their C*-algebras. Illinois Journal of Mathematics, 56 (4), 1149-1168.

Scopus Eid


  • 2-s2.0-84899877710

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=3365&context=eispapers

Ro Metadata Url


  • http://ro.uow.edu.au/eispapers/2356

Number Of Pages


  • 19

Start Page


  • 1149

End Page


  • 1168

Volume


  • 56

Issue


  • 4