10 citations · 27 across the 9 of their papers we have counts for
3 papers · 1 filter
Algebras of one-sided subshifts over arbitrary alphabets
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We introduce two algebras associated with a subshift over an arbitrary alphabet. One is unital and the other not necessarily. We focus on the unital case and describe a conjugacy b…
Reconstruction of twisted Steinberg algebras
Becky Armstrong, Gilles G. de Castro, Lisa Orloff Clark +6
We show how to recover a discrete twist over an ample Hausdorff groupoid from a pair consisting of an algebra and what we call a quasi-Cartan subalgebra. We identify precisely whic…
Inverse semigroups associated with labelled spaces and their tight spectra
Giuliano Boava, Gilles de Castro, Fernando de L. Mortari
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*-…