Quantum Transformation Groupoids

Abstract: We define quantum transformation groupoids, a class of multiplier Hopf algebroids generalizing transformation groupoids and algebraic quantum groups. An interesting characteristic of this algebraic class is that it admits a Pontryagin-like duality. In the first part of the talk, we will discuss how the study of quantum transformation groupoids appears in a Galois-type theory of inclusions of von Neumann algebras. Then in the second part, we will give the construction of a quantum transformation groupoid from a braided commutative measured Yetter-Drinfeld *-algebra on an algebraic quantum group in the sense of A. Van Daele.

category theoryquantum algebra

Audience: researchers in the topic

European Quantum Algebra Lectures (EQuAL)

Series comments: EQuAL is an online seminar series on quantum algebra and related topics such as topological and conformal field theory, operator algebra, representation theory, quantum topology, etc. sites.google.com/view/equalseminar/home