The tight groupoid of an inverse semigroup
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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.
SubjectsInverse semigroup; Semi-lattice; tight character; tight filter; ultra-filter; groupoid; groupoid C*-algebra
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