Rigidity of some quantum group actions on classical compact spaces
组织者
演讲者
王斯萌
时间
2024年03月06日 10:30 至 12:00
地点
A3-3-301
线上
Zoom 242 742 6089
(BIMSA)
摘要
We give a complete description of the actions by the free quantum permutation group $S_N^+$ on compact topological spaces, and in particular prove that $S_N^+$ cannot act ergodically on any nontrivial compact connected space, which was an open problem dating back to the related work of Goswami around 2010s. The proof is based on a combinatorial approach to the Tannaka-Krein duality for quantum group actions, and the method also applies to many other easy quantum groups. This is joint work with Amaury Freslon and Frank Taipe.