The 2-Calabi–Yau conjecture for multiplicative preprojective algebras

Let $Q$ be a connected non-Dynkin quiver and let $q\in (\mathbb{C}^\times)^{Q_0}$. Write $\Lambda^q(Q)$ for the multiplicative preprojective algebra of $Q$ with parameter $q$. 2-Calabi–Yau conjecture. Then $\Lambda^q(Q)$ is a 2-Calabi–Yau algebra. This would extend the expected 2-Calabi–Yau framework beyond the Dynkin case, where the comparison with additive preprojective algebras indicates different homological behaviour; it is open in the source.