Classical actions of quantum permutations

Abstract: Quantum permutation groups can act non-trivially, and even ergodically, on finite spaces. This is, in view of many quantum rigidity results, an exception and it is natural to wonder whether there are other classical spaces on which quantum permutations can act. H. Huang constructed a family of such spaces, and we will show that these are the only possibilities. This is a joint work with F. Taipe and S. Wang.

category theoryoperator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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