@unpublished{10498/16631, year = {2014}, month = {8}, url = {http://hdl.handle.net/10498/16631}, abstract = {In this work we present algebraic conditions on an inverse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.}, organization = {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 AndalucĂ­a and by the DGI- MICINN and European Regional Development Fund, jointly, through Project MTM2011-28992-C02-02.}, publisher = {arXiv.org}, keywords = {Inverse semigroup}, keywords = {Semi-lattice}, keywords = {tight character}, keywords = {tight filter}, keywords = {ultra-filter}, keywords = {groupoid}, keywords = {groupoid C*-algebra}, title = {The tight groupoid of an inverse semigroup}, doi = {10.1007/s00233-015-9758-5}, author = {Exel, Ruy and Pardo Espino, Enrique}, }