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arXiv · 1505.07123

Inverse semigroups associated with labelled spaces and their tight spectra

Giuliano Boava·Gilles de Castro·Fernando de L. Mortari
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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.

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Giuliano Boava, Gilles de Castro, Fernando de L. Mortari. 2015-05-26. Inverse semigroups associated with labelled spaces and their tight spectra. https://arxiv.org/abs/1505.07123

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