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.