The tight groupoid of an inverse semigroup

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URI: http://hdl.handle.net/10498/16631

DOI: 10.1007/s00233-015-9758-5

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Author/s
Exel, Ruy; Pardo Espino, EnriqueAuthority UCA
Date
2014-08-25
Department
Matemáticas
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.
Subjects
Inverse semigroup; Semi-lattice; tight character; tight filter; ultra-filter; groupoid; groupoid C*-algebra
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Attribution-NonCommercial-NoDerivatives 4.0 International
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 International