@unpublished{10498/21381,
year = {2019},
month = {6},
url = {http://hdl.handle.net/10498/21381},
abstract = {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.},
organization = {The second-named author was partially supported by PAI III grant FQM-298 of the Junta de Andalucía, and by the DGI-MINECO and European Regional Development Fund, jointly, through grant MTM2017-83487-P.},
publisher = {arXiv.org},
keywords = {Left cancellative small category},
keywords = {inverse semigroup},
keywords = {tight representation},
keywords = {tight groupoid},
keywords = {groupoid C*-algebra},
title = {The tight groupoid of the inverse semigroups of left cancellative small categories},
author = {Ortega, Eduard and Pardo Espino, Enrique},
}