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

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

2008-11-11

arxiv.org/abs/0811.1654v2

Mathematics

Operator Algebras

Scientific paper

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 $C^{*}(\Lambda)$ and $C^{*}(\Lambda^{op})$.

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