Group actions on labeled graphs and their C*-algebras

Details Group actions on labeled graphs and their C*-algebras Group actions on labeled graphs and their C*-algebras

2011-06-08

arxiv.org/abs/1106.1484v2

Mathematics

Operator Algebras

18 pages, updated version

Scientific paper

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 nonabelian duality.

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