Morita equivalence classes for crossed product of rational rotation algebras
Morita equivalence classes for crossed product of rational rotation algebras
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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