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arXiv · 0811.1654

Multiply generated dynamical systems and the duality of higher rank graph algebras

Ionel Popescu·Iulian Popescu
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Abstract

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 $C^{*}(Λ^{op})$.

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Ionel Popescu, Iulian Popescu. 2008-11-12. Multiply generated dynamical systems and the duality of higher rank graph algebras. https://arxiv.org/abs/0811.1654

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