RT preprint T1 The tight groupoid of an inverse semigroup A1 Exel, Ruy A1 Pardo Espino, Enrique A2 Matemáticas K1 Inverse semigroup K1 Semi-lattice K1 tight character K1 tight filter K1 ultra-filter K1 groupoid K1 groupoid C*-algebra AB 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. PB arXiv.org YR 2014 FD 2014-08-25T00:00:00Z LK http://hdl.handle.net/10498/16631 UL http://hdl.handle.net/10498/16631 LA eng NO The first-named author was partially supported by CNPq. The second-named author was partially supported by PAI III grants FQM-298 and P11-FQM-7156 of the Junta de Andalucía and by the DGI- MICINN and European Regional Development Fund, jointly, through Project MTM2011-28992-C02-02. DS Repositorio Institucional de la Universidad de Cádiz RD 13-nov-2026