Inverse semigroups associated with labelled spaces and their tight spectra
Rings and Algebras
2019-09-11 v1 Operator Algebras
Abstract
The notion of a labelled space was introduced by Bates and Pask in generalizing certain classes of C*-algebras. Motivated by Exel's work on inverse semigroups and combinatorial C*-algebras, we associate each weakly left resolving labelled space with an inverse semigroup, and characterize the tight spectrum of the latter in a way that is reminiscent of the description of the boundary path space of a directed graph.
Keywords
Cite
@article{arxiv.1505.07123,
title = {Inverse semigroups associated with labelled spaces and their tight spectra},
author = {Giuliano Boava and Gilles de Castro and Fernando de L. Mortari},
journal= {arXiv preprint arXiv:1505.07123},
year = {2019}
}