5 citations · 6 across the 7 of their papers we have counts for
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Graded Locally Finite and Just Infinite Steinberg Algebras
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We study graded locally finite and graded just infinite Steinberg algebras of ample Hausdorff groupoids. For gradings by discrete groups induced by a cocycle, we characterize finit…
The dynamical structure of partial group algebras with relations, with applications to subshift algebras
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
We introduce partial group algebras with relations in a purely algebraic framework. Given a group and a set of relations, we define an algebraic partial action and prove that the r…
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…
Leavitt path algebras of labelled graphs
Giuliano Boava, Gilles G. de Castro, Daniel Gonçalves +1
A Leavitt labelled path algebra over a commutative unital ring is associated with a labelled space, generalizing Leavitt path algebras associated with graphs and ultragraphs as wel…
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*-…