RT preprint
T1 The tight groupoid of the inverse semigroups of left cancellative small categories
A1 Ortega, Eduard
A1 Pardo Espino, Enrique
A2 Matemáticas
K1 Left cancellative small category
K1 inverse semigroup
K1 tight representation
K1 tight groupoid
K1 groupoid C*-algebra
AB 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.
PB arXiv.org
YR 2019
FD 2019-06-18
LK http://hdl.handle.net/10498/21381
UL http://hdl.handle.net/10498/21381
LA eng
NO 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.
DS Repositorio Institucional de la Universidad de Cádiz
RD 13-nov-2026