Multiply generated dynamical systems and the duality of higher rank graph algebras
We define a semidirect product groupoid of a system of partially defined local homeomorphisms $T=(T_{1},..., T_{r})$. We prove that this construction gives rise to amenable groupoids. The associated algebra is a Cuntz-like algebra. We use this construction for higher rank graph algebras in order to give a topological interpretation for the duality in $E$-theory between $C^{*}(Λ)$ and $C^{*}(Λ^{op})$.
math.OA↗