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BIMSA-Tsinghua Quantum Symmetry Seminar
Rigidity of some quantum group actions on classical compact spaces
Rigidity of some quantum group actions on classical compact spaces
Organizers
Speaker
Simeng Wang
Time
Wednesday, March 6, 2024 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
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.