Analysis seminar

Friday, November 16, 2012 3:30 pm - 3:30 pm EST (GMT -05:00)

Nico Spronk, Department of Pure Mathematics, University of Waterloo

"On the subalgebra of a Fourier-Stieltjes algebra generated by pure positive definite functions"

Abstract: For a locally compact group $G$, Yin-Hei Cheng considered the closed subspace $a_0(G)$ which is generated by the pure positive definite
functions. In many cases $a_0(G)$ is itself an algebra.  We illustrate using Heisenberg groups and the $2\times 2$ real special linear group, that this is not the case in general. We examine the structures of the algebras thereby created and examine properties related to amenability.

This is joint work with Yin-Hei Cheng and Brian Forrest.