Group actions on labeled graphs and their C*-algebras

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.