5 problems

Goswami's quantum rigidity conjecture. A genuine compact quantum group cannot act faithfully on a connected classical compact space.

Proper-action characterization. The following are equivalent:

Conjecture I. It is not possible to have a smooth faithful action of a genuine compact quantum group on $C(M)$.

Let $\mathcal{G}$ be a compact quantum group acting on a compact Hausdorff space $X$. For $x\theta X$, let $rm Orb_x$ denote the orbit of $x$, let $rm supp\,\mu_x$ denote the suppo…

Let $M$ be a compact connected smooth manifold, and let a genuine compact quantum group act smoothly and faithfully on $C(M)$. Here, genuine means that the compact quantum group is…