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Groupoids associated to semigroup actions

Published 12 Feb 2014 in math.OA | (1402.2762v2)

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.

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