English

Groupoids associated to semigroup actions

Operator Algebras 2014-06-20 v2

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 CC^{*}-algebras.

Keywords

Cite

@article{arxiv.1402.2762,
  title  = {Groupoids associated to semigroup actions},
  author = {Jean Renault and S. Sundar},
  journal= {arXiv preprint arXiv:1402.2762},
  year   = {2014}
}
R2 v1 2026-06-22T03:06:31.164Z