# Olof Giselsson: Beurling–Fourier algebras and complexification

C*-algebra seminar talk by Olof Giselsson (University of Oslo)

The talk will be online, via zoom. We will post the link shortly before the talk.

Title: Beurling–Fourier algebras and complexification

Abstract: A Beurling–Fourier algebra on a locally compact group **G** is a subalgebra of the Fourier algebra that is weighted by an element in the group von Neumann algebra. In particular, a Beurling–Fourier algebra is commutative. A fundamental problem is to identifty the Gelfand spetrum of a Beurling–Fourier algebra and to try to identify it with a subset of

an abstract complexification of the group. This is joint project with Lyudmila Turowska.