2 problems
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Goswami's quantum rigidity conjecture for connected classical spaces
Goswami's quantum rigidity conjecture. A genuine compact quantum group cannot act faithfully on a connected classical compact space.
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Density conjecture for ergodic compact Lie group actions
Density conjecture. All such -algebras lie in the closure, for the Gromov–Hausdorff propinquity, of the class of these finite-dimensional -algebras.