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arXiv · 1505.02968

Certain actions of finitely generated groups on higher dimensional noncommutative tori

Zhuofeng He
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Abstract

We study certain actions of finitely generated abelian groups on higher dimensional noncommutative tori. Given a dimension $d$ and a finitely generated abelian group $G$, we apply a certain function to detect whether there is a simple noncommutative $d$-torus which admits a specific action by $G$. We also describe the condition of $G$ under which the associated crossed product is an AF algebra.

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Zhuofeng He. 2015-05-12. Certain actions of finitely generated groups on higher dimensional noncommutative tori. https://arxiv.org/abs/1505.02968

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