Group actions on labeled graphs and their C*-algebras

Authors

Teresa Bates, University of New South WalesFollow
David Pask, University of WollongongFollow
Paulette Willis, University of Houston

RIS ID

89798

Publication Details

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

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.