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Morita equivalence classes for crossed product of rational rotation algebras

Morita equivalence classes for crossed product of rational rotation algebras

来源:Arxiv_logoArxiv
英文摘要

We study the Morita equivalence classes of crossed products of rotation algebras $A_\theta$, where $\theta$ is a rational number, by finite and infinite cyclic subgroups of $\mathrm{SL}(2, \mathbb{Z})$. We show that for any such subgroup $F$, the crossed products $A_\theta \rtimes F$ and $A_{\theta'} \rtimes F$ are strongly Morita equivalent, where both $\theta$ and $\theta'$ are rational. Combined with previous results for irrational values of $\theta$, our result provides a complete classification of the crossed products $A_\theta \rtimes F$ up to Morita equivalence.

Sayan Chakraborty、Pratik Kumar Kundu

数学

Sayan Chakraborty,Pratik Kumar Kundu.Morita equivalence classes for crossed product of rational rotation algebras[EB/OL].(2025-05-26)[2025-07-01].https://arxiv.org/abs/2505.19869.点此复制

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