K-theory rank conjecture for noncommutative torus orbifold crossed products

Let $\mathcal A_\theta^{alg}$ be the algebraic noncommutative torus and let $\Gamma$ be one of the cyclic groups $\mathbb Z_3$, $\mathbb Z_4$, or $\mathbb Z_6$. The group $K_0(\mathcal A_\theta^{alg} \rtimes \Gamma)$ denotes the zeroth K-theory group of the crossed product. K-theory rank conjecture.

$$K_0(\mathcal A_\theta^{alg} \rtimes \Gamma) \cong \begin{cases} \mathbb Z^7 & \text{for } \Gamma=\mathbb Z_3, \\ \mathbb Z^8 & \text{for } \Gamma=\mathbb Z_4, \\ \mathbb Z^9 & \text{for } \Gamma=\mathbb Z_6. \end{cases}$$

This conjecture predicts the ranks of the zeroth K-theory groups for the three cyclic orbifold actions considered in the paper. The source gives no resolution status.