Williams’ conjecture holds for meteor graphs Luiz Gustavo Cordeiro, Elizabeth Gillaspy, Daniel Gonçalves, Roozbeh Hazrat Israel Journal of Mathematics, 2026 A meteor graph is a connected graph with no sources and sinks consisting of two disjoint cycles and the paths connecting these cycles. We prove that if an essential graph is shift equivalent to a meteor graph, then it is also a meteor graph. Moreover, two meteor graphs are shift equivalent if and only if they are strongly shift equivalent, if and only if their corresponding Leavitt path algebras are graded Morita equivalent, if and only if their graded K -theories, K 0 gr , are ℤ[ x, x −1 ]-module isomorphic. As a consequence, the Leavitt path algebras of meteor graphs are graded Morita equivalent if and only if their graph C* -algebras are equivariantly Morita equivalent.
On the centroid of a Leavitt path algebra Daniel Gonçalves, Dolores Martín Barquero, Cándido Martín González, Mercedes Siles Molina Journal of Algebraic Combinatorics, 2025 We describe the centroid of some Leavitt path algebras. More precisely, for Leavitt path algebras over a field $${{\\mathbb {K}}}$$ K , we show that if the algebra is simple, then its centroid is isomorphic to $${{\\mathbb {K}}}$$ K , and if the algebra is prime, then its centroid is also isomorphic to $${{\\mathbb {K}}}$$ K , except if the graph is a row-finite comet, in which case the centroid is isomorphic to $${{\\mathbb {K}}}[x,x^{-1}]$$ K [ x , x - 1 ] .
Ideals of étale groupoid algebras with coefficients in a sheaf with applications to topological dynamics Gilles Gonçalves de Castro, Daniel Gonçalves, Benjamin Steinberg Documenta Mathematica, 2025 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 also use the description of the ideals to characterize when the groupoid algebras with coefficients in a sheaf are von Neumann regular, primitive, semiprimitive, or simple. We apply our results to the topological dynamics of actions of inverse semigroups, describing the existence of dense orbits and minimality in terms of primitivity and simplicity, respectively, of the associated algebra. Moreover, we apply our results to the usual complex groupoid algebra of continuous functions with compact support, used to build the C^{*} -algebra associated with a groupoid, and describe criteria for its simplicity.
Entropy For Partial Actions Of Z Alexandre Baraviera, Ruy Exel, Daniel Gonçalves, Fagner Rodrigues, Danilo Royer Proceedings of the American Mathematical Society, 2022
Chains in evolution algebras Yolanda Cabrera Casado, Maria Inez Cardoso Gonçalves, Daniel Gonçalves, Dolores Martín Barquero, Cándido Martín González Linear Algebra and Its Applications, 2021
New C*-algebras from substitution tilings Journal of Operator Theory, 2007
RECENT SCHOLAR PUBLICATIONS
Paterson compactifications, inverse limits and shadowing for Deaconu-Renault systems D Gonçalves, D Royer, FA Tasca arXiv preprint arXiv:2604.06368 , 2026 2026
Williams’ conjecture holds for meteor graphs LG Cordeiro, E Gillaspy, D Gonçalves, R Hazrat Israel Journal of Mathematics, 1-42 , 2026 2026 Citations: 6
Shadowing and Lipschitz Shadowing in Symbolic Dynamics: Finite vs. Infinite Alphabets D Gonçalves, SM Silva arXiv preprint arXiv:2603.03200 , 2026 2026
The dynamical structure of partial group algebras with relations, with applications to subshift algebras G Boava, GG De Castro, D Goncalves, DW van Wyk Communications in Contemporary Mathematics , 2025 2025
The uniform dimension of a monoid with applications to graph algebras LG Cordeiro, D Gonçalves, R Hazrat Journal of Algebra 682, 31-59 , 2025 2025
Ideals of étale groupoid algebras with coefficients in a sheaf with applications to topological dynamics GG de Castro, D Gonçalves, B Steinberg Documenta Mathematica 30 (6), 1421-1459 , 2025 2025
C*-algebras of one-sided subshifts over arbitrary alphabets G Boava, GG de Castro, D Gonçalves, DW van Wyk Discrete and Continuous Dynamical Systems 45 (9), 3275-3295 , 2025 2025 Citations: 10
Irreducible Representations of One-Sided Subshift Algebras: D. Gonçalves and D. Royer D Gonçalves, D Royer Results in Mathematics 80 (6), 186 , 2025 2025 Citations: 5
Shadowing for local homeomorphisms, with applications to edge shift spaces of infinite graphs D Gonçalves, BB Uggioni Journal of Dynamics and Differential Equations 37 (2), 1933-1963 , 2025 2025 Citations: 2
Solenoids in automorphism groups of evolution algebras YC Casado, MIC Gonçalves, D Gonçalves, DM Barquero, CM González, ... arXiv preprint arXiv:2505.14584 , 2025 2025
Hopf algebras and associative representations of two-dimensional evolution algebras Y Cabrera Casado, MI Cardoso Gonçalves, D Gonçalves, ... Bulletin of the Brazilian Mathematical Society, New Series 56 (1), 8 , 2025 2025 Citations: 1
Nonwandering sets and the entropy of local homeomorphisms D Gonçalves, D Royer, FA Tasca arXiv preprint arXiv:2410.08072 , 2024 2024
𝐾𝐾-duality for self-similar groupoid actions on graphs N Brownlowe, A Buss, D Gonçalves, J Hume, A Sims, M Whittaker Transactions of the American Mathematical Society 377 (08), 5513-5560 , 2024 2024 Citations: 5
Centroid and algebraic properties of evolution algebras through graphs Y Cabrera Casado, M Inez Cardoso Gonçalves, D Gonçalves, ... arXiv e-prints, arXiv: 2404.08752 , 2024 2024
The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets D Bagio, C Gil Canto, D Gonçalves, D Royer Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie … , 2024 2024 Citations: 3
Entropy of local homeomorphisms with applications to infinite alphabet shift spaces D Gonçalves, D Royer, F Augusto Tasca International Mathematics Research Notices 2024 (6), 4842-4892 , 2024 2024 Citations: 5
On the ideals of ultragraph Leavitt path algebras TTH Duyen, D Gonçalves, TG Nam Algebras and Representation Theory 27 (1), 77-113 , 2024 2024 Citations: 11
Algebras of one-sided subshifts over arbitrary alphabets G Boava, GG de Castro, D Gonçalves, DW van Wyk Revista Matemática Iberoamericana 40 (3), 1045-1088 , 2024 2024 Citations: 9
The ideal structure of partial skew groupoid rings with applications to topological dynamics and ultragraph algebras D Bagio, D Gonçalves, PSE Moreira, J Öinert Forum Mathematicum , 2024 2024 Citations: 5
The socle of subshift algebras, with applications to subshift conjugacy D Gonçalves, D Royer Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1-26 , 2024 2024 Citations: 3
MOST CITED SCHOLAR PUBLICATIONS
Leavitt path algebras as partial skew group rings D Gonçalves, D Royer Communications in Algebra 42 (8), 3578-3592 , 2014 2014 Citations: 52
Infinite alphabet edge shift spaces via ultragraphs and their C*-algebras D Gonçalves, D Royer International Mathematics Research Notices 2019 (7), 2177-2203 , 2019 2019 Citations: 48
The interplay between Steinberg algebras and skew rings VM Beuter, D Gonçalves Journal of Algebra 497, 337-362 , 2018 2018 Citations: 47
On the representations of Leavitt path algebras D Gonçalves, D Royer Journal of Algebra 333 (1), 258-272 , 2011 2011 Citations: 39
Ultragraphs and shift spaces over infinite alphabets D Gonçalves, D Royer Bulletin des Sciences Mathématiques 141 (1), 25-45 , 2017 2017 Citations: 35
Enveloping algebras of partial actions as groupoid C*-algebras R Exel, T Giordano, D Gonçalves Journal of Operator Theory 65 (1), 197 , 2011 2011 Citations: 35
Squares and associative representations of two-dimensional evolution algebras MI Cardoso Gonçalves, D Gonçalves, DM Barquero, CM González, ... Journal of Algebra and Its Applications 20 (06), 2150090 , 2021 2021 Citations: 32
Simplicity and chain conditions for ultragraph Leavitt path algebras via partial skew group ring theory D Gonçalves, D Royer Journal of the Australian Mathematical Society 109 (3), 299-319 , 2020 2020 Citations: 29
The tiling C*-algebra viewed as a tight inverse semigroup algebra R Exel, D Gonçalves, C Starling Semigroup forum 84 (2), 229-240 , 2012 2012 Citations: 29
Simplicity of partial skew group rings with applications to Leavitt path algebras and topological dynamics D Gonçalves, J Öinert, D Royer Journal of Algebra 420, 201-216 , 2014 2014 Citations: 28
Graph C*-algebras, branching systems and the Perron–Frobenius operator D Gonçalves, D Royer Journal of Mathematical Analysis and Applications 391 (2), 457-465 , 2012 2012 Citations: 25
Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems GG de Castro, D Gonçalves, DW van Wyk Journal of Algebra 579, 456-495 , 2021 2021 Citations: 24
Partial crossed products as equivalence relation algebras VM Beuter, D Gonçalves Rocky Mountain Journal of Mathematics 46 (1), 85-104 , 2016 2016 Citations: 24
Unitary equivalence of representations of graph algebras and branching systems D Gonçalves, D Royer Functional Analysis and Its Applications 45 (2), 117-127 , 2011 2011 Citations: 23
Simplicity of skew inverse semigroup rings with applications to Steinberg algebras and topological dynamics V Beuter, D Gonçalves, J Öinert, D Royer Forum Mathematicum 31 (3), 543-562 , 2019 2019 Citations: 22
Two-sided shift spaces over infinite alphabets D Gonçalves, M Sobottka, C Starling Journal of the Australian Mathematical Society, 1-30 , 2017 2017 Citations: 22
Sliding block codes between shift spaces over infinite alphabets D Gonçalves, M Sobottka, C Starling Mathematische Nachrichten 289 (17-18), 2178-2191 , 2016 2016 Citations: 22
The talented monoid of a directed graph with applications to graph algebras LG Cordeiro, D Gonçalves, R Hazrat Revista Matemática Iberoamericana 38 (1), 223-256 , 2021 2021 Citations: 20
Simplicity of partial skew group rings of abelian groups D Gonçalves Canad. Math. Bull. 57, 511-519 , 2014 2014 Citations: 19
Free path groupoid grading on Leavitt path algebras D Gonçalves, G Yoneda International Journal of Algebra and Computation 26 (06), 1217-1235 , 2016 2016 Citations: 18