Fourier Algebras on Topological Foundation * -semigroups

  title={Fourier Algebras on Topological Foundation * -semigroups},
  author={Massoud Amini and Alireza R. Medghalchi},
We introduce the notion of the Fourier and Fouier-Stieltjes algebra of a topological ∗-semigroup and show that these are commutative Banach algebras. For a class of foundation semigroups, we show that these are preduals of von Neumann algebras. 1. Definitions and Notations Let S be a locally compact topological semigroup and M(S) be the Banach algebra of… CONTINUE READING