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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.RA2026
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…