3 problems

Quotient groupoid identification. If $T$ is non-periodic, then the map

Tu–Xu–Laurent-Gengoux conjecture. If the class of $\mathcal{R}$ is a torsion element of the Brauer group of $\mathcal{G}$, then $\mathcal{R}$ admits an $(\mathcal{R},\mathcal{G})$-…

Primitivity conjecture. The other $16$ groupoids proved completely dissociative in Theorem 3.8 are primitive as well.