Nico Spronk, Department of Pure Math University of Waterloo
“On p-variations of Fourier algebras” Abstract
Let G be a compact group. I will introduce and discuss a family Ap(G) (1 ≤ p ≤ ∞) of Banach function algebras on G. A1(G) is the classical Fourier algebra of Kre ̆ın, Stinespring or Eymard. The algebra A2(G) arose in some computations of the Forrest, Samei and the author. Through operator space interpolation, each of these algebras is equipped with an operator space structure with respect to which it is a completely contractive Banach algebra. I will discuss various functorial properties of these algebras and talk about some amenability properties. In doing so I will exhibit some exotic convolution algebras on sequences.
This represents joint work, in progress, with H.H. Lee and E. Samei.