6 papers
The algebraic entropies of the Leavitt path algebra and the graph algebras agree
Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero +3
In this note we prove that the algebras and have the same entropy. Entropy is always referred to the standard filtrations in the corresponding kind of algebra. The ma…
Algebraic entropy and a complete classification of path algebras over finite graphs by growth
Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero +3
The Gelfand-Kirillov dimension is a well established quantity to classify the growth of infinite dimensional algebras. In this article we introduce the algebraic entropy for path a…
Simultaneous orthogonalization of inner products over arbitrary fields
Yolanda Cabrera Casado, Cristóbal Gil Canto, Dolores Martín Barquero +1
We give necessary and sufficient conditions for a family of inner products in a finite-dimensional vector space over an arbitrary field to have an orthogonal basis…
Invariants ideals in Leavitt Path algebras
Cristóbal Gil Canto, Dolores Martín Barquero, Cándido Martín González
It is known that the ideals of a Leavitt path algebra generated by $\Pl(E)$, by $\Pc(E)$ or by $\Pec(E)$ are invariant under isomorphism. Though the ideal generated by $\P…
Largest ideals in Leavitt path algebras
Vural Cam, Cristóbal Gil Canto, Müge Kanuni +1
We identify largest ideals in Leavitt path algebras: the largest locally left/right artinian (which is the largest semisimple one), the largest locally left/right noetherian withou…
The cycline subalgebra of a Kumjian-Pask algebra
Lisa Orloff Clark, Cristóbal Gil Canto, Alireza Nasr-Isfahani
Let be a row-finite higher-rank graph with no sources. We identify a maximal commutative subalgebra inside the Kumjian-Pask algebra . We also prove…