Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of $S{L}_2(\mathbb{Z})$

Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1

Let $\theta ,{\theta }^{\prime }$ be irrational numbers and $A,B$ be matrices in $S{L}_2(\mathbb{Z})$ of infinite order. We compute the $K$-theory of the crossed product $\mathcal{A}_θ\rtimes_A \mathbb{Z…