5 papers · 1 filter
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 Reduction Theorem for Leavitt Labelled Path Algebras and Its Applications
Daniel Gonçalves, Nguyen Dinh Nam, Tran Giang Nam
We introduce a notion of labelled cycle for normal labelled spaces and prove a reduction theorem for Leavitt labelled path algebras. We show that every nonzero element can be reduc…
Solenoids in automorphism groups of evolution algebras
Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves +3
Let A be an evolution algebra (possibly infinite-dimensional) equipped with a fixed natural basis B, and let E be the associated graph defined by Elduque and Labra. We describe the…
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…
Ideals of étale groupoid algebras with coefficients in a sheaf with applications to topological dynamics
Gilles G. de Castro, Daniel Gonçalves, Benjamin Steinberg
We prove the Effros-Hahn conjecture for groupoid algebras with coefficients in a sheaf, obtaining as a consequence a description of the ideals in skew inverse semigroup rings. We a…