%0 Journal Article %A Exel, Ruy %A Pardo Espino, Enrique %T The tight groupoid of an inverse semigroup %D 2014 %U http://hdl.handle.net/10498/16631 %X 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. %K Inverse semigroup %K Semi-lattice %K tight character %K tight filter %K ultra-filter %K groupoid %K groupoid C*-algebra %~ Universidad de Cádiz