Groupoids associated to semigroup actions

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 $C^{\ast }$-algebras.

References in corpus (2)

• An index theorem for Wiener--Hopf operators
• Convex polytopes and the index of Wiener-Hopf operators

Cited by in corpus (1)

• C*-algebras associated to topological Ore semigroups