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Chains in evolution algebras
Cabrera-Casado, Yolanda; Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martín-Barquero, Dolores; Martín-González, Cándido (ELSEVIER, 2021-08-01)In this work we approach three-dimensional evolution algebras from certain constructions performed on two-dimensional algebras. More precisely, we provide four different constructions producing three-dimensional evolution ... -
Conjugacy of subshifts via the associated algebras.
Gonçalves, Daniel (2024)In this talk, we present the recently defined unital algebra associated with a one-sided subshift over an arbitrary alphabet. For finite alphabets, the C*-algebraic version of this algebra coincides with the C*-algebra ... -
Entropy of local homeomorphisms
Gonçalves, Daniel (2024)In this talk, we introduce topological entropy for dynamical systems generated by a single local homeomorphism (Deaconu-Renault systems). More precisely, we propose and compare entropy definitions via covers and via ... -
Entropy of local homeomorphisms with applications to subshifts arising from infinite graphs.
Gonçalves, Daniel (2024)In this talk, we introduce topological entropy for dynamical systems generated by a single local homeomorphism (Deaconu-Renault systems). More precisely, we propose and compare entropy definitions via covers and via separated ... -
Leavitt Path algebras via partial skew ring theory
Gonçalves, Daniel (2018-04-17)We will introduce the theory or partial actions of groups and their associated algebras. As an example we will realize the Leavitt path algebra associated with a graph as a partial skew group ring. To finish, we will ... -
Representations of relative Cohn path algebras.
Gil-Canto, Cristóbal; Gonçalves, Daniel (Elsevier, 2020-01-07)We study relative Cohn path algebras, also known as Leavitt-Cohn path algebras, and we realize them as partial skew group rings. To do this we prove uniqueness theorems for relative Cohn path algebras. Furthermore, given ... -
Squares and associative representations of two dimensional evolution algebras
Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martín-Barquero, Dolores; Martín-González, Cándido; Siles-Molina, Mercedes (World Scientific, 2021)We associate an square to any two dimensional evolution algebra. This geomet- ric object is uniquely determined, does not depend on the basis and describes the structure and the behaviour of the algebra. We determine the ... -
The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets.
Bagio, Dirceu; Gil-Canto, Cristóbal; Gonçalves, Daniel; Royer, Danilo (Springer, 2024-02-21)Let R be a commutative unital ring, X a subshift, and A_R(X) the corresponding unital subshift algebra. We establish the reduction theorem for A_R(X). As a consequence, we obtain a Cuntz-Krieger uniqueness theorem for ...