Partial Pontryagin duality for actions of quantum groups on C*-algebras

Kan Kitamura (University of Tokyo)

Friday 17th February, 2023 16:00-17:00 Maths 116


In view of Takesaki-Takai duality, we can go back and forth between the C*-dynamical systems of an abelian group and of its Pontryagin dual by taking crossed products. In this talk, I present a similar duality between actions on C*-algebras of two kinds of quantum groups, called a double crossed product and a bicrossed product. I will illustrate the example from Zappa-Szép products of groups to explain the situation. I will also discuss another case from quantum doubles and its consequences.

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