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math.RA2026
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…
math.RA2025
Relation morphisms of directed graphs
Gilles G. de Castro, Francesco D'Andrea, Piotr M. Hajac
Associating graph algebras to directed graphs leads to both covariant and contravariant functors from suitable categories of graphs to the category k-Alg of algebras and algebra ho…
math.RA2024
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…