%0 Journal Article 
%A Ortega, Eduard
%A Pardo Espino, Enrique
%T The tight groupoid of the inverse semigroups of left cancellative small categories
%D 2019
%U http://hdl.handle.net/10498/21381
%X We fix a path model for the space of filters of the inverse semigroup S_Λ associated to a left cancellative small category Λ. Then, we compute its tight groupoid, thus giving a representation of its C*-algebra as a (full) groupoid algebra. Using it, we characterize when these algebras are simple. Also, we determine amenability of the tight groupoid under mild, reasonable hypotheses.
%K Left cancellative small category
%K inverse semigroup
%K tight representation
%K tight groupoid
%K groupoid C*-algebra
%~ Universidad de Cádiz