English

The tight groupoid of an inverse semigroup

Operator Algebras 2014-09-04 v2 Dynamical Systems

Abstract

In this work we present algebraic conditions on an inverse semigroup S (with zero) which imply that its associated tight groupoid G_{tight)(S) is: Hausdorff, essentially principal, minimal and contracting, respectively. In some cases these conditions are in fact necessary and sufficient.

Keywords

Cite

@article{arxiv.1408.5278,
  title  = {The tight groupoid of an inverse semigroup},
  author = {Ruy Exel and Enrique Pardo},
  journal= {arXiv preprint arXiv:1408.5278},
  year   = {2014}
}

Comments

Typos corrected and references added