Graded Steinberg algebras and their representations
We study the category of left unital graded modules over the Steinberg algebra of a graded
ample Hausdorff groupoid. In the first part of the paper, we show that this category is …
ample Hausdorff groupoid. In the first part of the paper, we show that this category is …
Graded irreducible representations of Leavitt path algebras: A new type and complete classification
L Vaš - Journal of Pure and Applied Algebra, 2023 - Elsevier
We present a new class of graded irreducible representations of a Leavitt path algebra. This
class is new in the sense that its representation space is not isomorphic to any of the existing …
class is new in the sense that its representation space is not isomorphic to any of the existing …
Ideals of Steinberg algebras of strongly effective groupoids, with applications to Leavitt path algebras
We consider the ideal structure of Steinberg algebras over a commutative ring with identity.
We focus on Hausdorff groupoids that are strongly effective in the sense that their reductions …
We focus on Hausdorff groupoids that are strongly effective in the sense that their reductions …
Representations and the reduction theorem for ultragraph Leavitt path algebras
D Gonçalves, D Royer - Journal of Algebraic Combinatorics, 2021 - Springer
In this paper, we study representations of ultragraph Leavitt path algebras via branching
systems and, using partial skew ring theory, prove the reduction theorem for these algebras …
systems and, using partial skew ring theory, prove the reduction theorem for these algebras …
[HTML][HTML] Leavitt path algebras with finitely presented irreducible representations
KM Rangaswamy - Journal of Algebra, 2016 - Elsevier
Let E be an arbitrary graph, K be any field and let L= LK (E) be the corresponding Leavitt
path algebra. Necessary and sufficient conditions (both graphical and algebraic) are given …
path algebra. Necessary and sufficient conditions (both graphical and algebraic) are given …
Free path groupoid grading on Leavitt path algebras
D Gonçalves, G Yoneda - International Journal of Algebra and …, 2016 - World Scientific
Free path groupoid grading on Leavitt path algebras Page 1 International Journal of Algebra
and Computation Vol. 26, No. 6 (2016) 1217–1235 c© World Scientific Publishing Company …
and Computation Vol. 26, No. 6 (2016) 1217–1235 c© World Scientific Publishing Company …
Irreducible and permutative representations of ultragraph Leavitt path algebras
D Gonçalves, D Royer - Forum Mathematicum, 2020 - degruyter.com
We completely characterize perfect, permutative, irreducible representations of an
ultragraph Leavitt path algebra. For this, we extend to ultragraph Leavitt path algebras …
ultragraph Leavitt path algebra. For this, we extend to ultragraph Leavitt path algebras …
Irreducible representations of one-sided subshift algebras
D Gonçalves, D Royer - arXiv preprint arXiv:2306.16179, 2023 - arxiv.org
Given a subshift over an arbitrary alphabet, we construct a representation of the associated
unital algebra. We describe a criteria for the faithfulness of this representation in terms of the …
unital algebra. We describe a criteria for the faithfulness of this representation in terms of the …
[HTML][HTML] Leavitt path algebras: Graded direct-finiteness and graded Σ-injective simple modules
R Hazrat, KM Rangaswamy, AK Srivastava - Journal of Algebra, 2018 - Elsevier
In this paper, we give a complete characterization of Leavitt path algebras which are graded
Σ-V rings, that is, rings over which a direct sum of arbitrary copies of any graded simple …
Σ-V rings, that is, rings over which a direct sum of arbitrary copies of any graded simple …