8 papers
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…
Residual finite-dimensionality of ultragraph algebras via branching systems
Daniel Gonçalves, Danilo Royer
We study residual finite-dimensionality for ultragraph algebras, both in the algebraic and in the C-star-algebraic settings. We introduce graph-theoretic RFD conditions for ultragr…
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…
Paterson compactifications, inverse limits and shadowing for Deaconu-Renault systems
Daniel Gonçalves, Danilo Royer, Felipe Augusto Tasca
We develop a new metric and inverse-limit framework for Deaconu-Renault systems arising from local homeomorphisms between open subsets of locally compact zero-dimensional spaces. O…
Relative ultragraph algebras and infinite interval maps
Ben-Hur Eidt, Daniel Gonçalves, Danilo Royer
In this paper, we introduce the notion of relative ultragraph algebras and extend classical injectivity criteria for representations, particularly those arising from branching syst…
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…