Groupoids associated to semigroup actions (1402.2762v2)

Published 12 Feb 2014 in math.OA

Abstract: In this paper, we consider topological semigroup actions on compact topological spaces. Under mild assumptions on the semigroup and the action, we construct a semi-direct product groupoid with a Haar system. We also show that it is equivalent to a transformation groupoid. We apply this construction to the Wiener-Hopf $C^{{*}$-algebras.}