Olof Giselsson: Beurling–Fourier algebras and complexification
C*-algebra seminar talk by Olof Giselsson
The talk will be online, via zoom. Contact Sergey Neshveyev if you want to join.
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 identify the Gelfand spectrum 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.