The purpose of this paper is to present some old and recent results for the class of $F$-algebras which include most classes of Banach algebras that are important in abstract harmonic analysis. We also introduce a subclass of the class of $F$-algebras, called normal $F$-algebras, that captures better the measure algebras and the (reduced) Fourier-Stieltjes algebras, and use this to give new characterisations the reduced Fourier-Stieltjes algebras of discrete groups.
"On a class of Banach algebras associated to harmonic analysis on locally compact groups and semigroups." Adv. Oper. Theory 3 (1) 231 - 246, Winter 2018. https://doi.org/10.22034/aot.1702-1115