Operator algebras seminar
Speaker: Ami Viselter (Haifa University)
Title: Generating functionals on quantum groups
Abstract: We will discuss generating functionals on locally compact quantum groups. One type of examples comes from probability: the family of distributions of a L\'evy process forms a convolution semigroup, which in turn admits a natural generating functional. Another type of examples comes from (locally compact) group theory, involving semigroups of positive-definite functions and conditionally negative-definite functions, which provide important information about the group's geometry. We will explain how these notions are related and how all this extends to the quantum world; see how generating functionals may be (re)constructed and study their domains; and indicate how our results can be used to study cocycles. Based on joint work with Adam Skalski.