C*-algebras associated to Boolean dynamical systems

The goal of this talk is to present the C*-algebra $C^*(\mathcal{B}, \mathcal{L}, \theta)$ of a Boolean dynamical system $(\mathcal{B}, \mathcal{L}, \theta)$, that generalizes the $C^*$-algebra associated to a labelled graph introduced by Bates and Pask, and to determine its simplicity, its gauge invariant ideals, as well as compute its K-Theory. This is a joint work with Toke Meier Carlsen (Department of Science and Technology, University of the Faroe Islands) and Eduard Ortega (Department of Mathematical Sciences, NTNU Trondheim).Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

Interpolation in non-positively curved K\"ahler manifolds

We extend to any simply connected K\"ahler manifold with non-positive sectional curvature some conditions for interpolation in $\mathbb{C}$ and in the unit disk given by Berndtsson, Ortega-Cerd\`a and Seip. The main tool is a comparison theorem for the Hessian in K\"ahler geometry due to Greene, Wu and Siu, Yau.Comment: 9 pages, Late

Treatment of Galium L. (Rubiaceae) in Flora Iberica

A taxonomic study of the genus Galium has shown the presence of 51 species and 14 subspecies in Flora Iberica. These taxa are gathered in 10 previously known sections, and in some of them new series are recognized: Galium sect. Galium ser. Trichogaliopsis (Lange) Ortega-Olivencia & Devesa, Galium sect. Galium ser. Andalusiana Ortega-Olivencia & Devesa, Galium sect. Platygalium ser. Platygalium (DC.) Ortega- Olivencia & Devesa, Galium sect. Platygalium ser. Ephedrogalium Ortega-Olivencia & Devesa and Galium sect. Leiogalium ser. Pulchra Ortega-Olivencia & Devesa. Ser. Ephedrogalium only comprises G. ephedroides, a species where a study of the foliar anatomy has been carried. Its leaves show three nerves and that character justifies its inclusion into section Platygalium. Also, a new variety is described in G. idubedae (Pau ex Debeaux) Pau ex Ehrend. (Galium sect. Leptogalium Lange): Galium idubedae var. humile C. Vicioso ex Ortega-Olivencia & DevesaSobre el tratamiento de Galium L. (Rubiaceae) en Flora Iberica. El estudio taxonómico del género Galium para Flora Iberica ha revelado la existencia en el territorio de 51 especies y 14 subespecies. Éstas han sido agrupadas en 10 secciones, previamente descritas, reconociéndose para algunas de ellas nuevas series: Galium sect. Galium ser. Trichogaliopsis (Lange) Ortega-Olivencia & Devesa, Galium sect. Galium ser. Andalusiana Ortega-Olivencia & Devesa, Galium sect. Platygalium ser. Platygalium (DC.) Ortega-Olivencia & Devesa, Galium sect. Platygalium ser. Ephedrogalium Ortega-Olivencia & Devesa y Galium sect. Leiogalium ser. Pulchra Ortega-Olivencia & Devesa. La serie Ephedrogalium comprende sólo G. ephedroides Willk., taxón para el de se ha estudiado la anatomía foliar, al objeto de evidenciar el número de nervios que poseen sus hojas -tres- y que justifica su inclusión en la sección. Para Galium idubedae (Pau ex Debeaux) Pau ex Ehrend. (Galium sect. Leptogalium Lange) se describe una nueva variedad: Galium idubedae var. humile C. Vicioso ex Ortega-Olivencia & Devesa. Treatment of Galium L. (Rubiaceae) in Flora Iberica

Purely infinite crossed products by endomorphisms

We study the crossed product $C^*$-algebra associated to injective endomorphisms, which turns out to be equivalent to study the crossed product by the dilated autormorphism. We prove that the dilation of the Bernoulli $p$-shift endomorphism is topologically free. As a consequence, we have a way to twist any endomorphism of a \D-absorbing $C^*$-algebra into one whose dilated automorphism is essentially free and have the same $K$-theory map than the original one. This allows us to construct purely infinite crossed products $C^*$-algebras with diverse ideal structures.Comment: Corrected misprints. Clarified some points in Section 3. Added a reference. Re-submitted to JMA

Sobre el tratamiento de Galium L. (Rubiaceae) en Flora Iberica.

Sobre el tratamiento de Galium L. (Rubiaceae) en Flora Iberica. El estudio taxonómico del género Galium para Flora Iberica ha revelado la existencia en el territorio de 51 especies y 14 subespecies. Éstas han sido agrupadas en 10 secciones, previamente descritas, reconociéndose para algunas de ellas nuevas series: Galium sect. Galium ser. Trichogaliopsis (Lange) Ortega-Olivencia & Devesa, Galium sect. Galium ser. Andalusiana Ortega-Olivencia & Devesa, Galium sect. Platygalium ser. Platygalium (DC.) Ortega-Olivencia & Devesa, Galium sect. Platygalium ser. Ephedrogalium Ortega-Olivencia & Devesa y Galium sect. Leiogalium ser. Pulchra Ortega-Olivencia & Devesa. La serie Ephedrogalium comprende sólo G. ephedroides Willk., taxón para el de se ha estudiado la anatomía foliar, al objeto de evidenciar el número de nervios que poseen sus hojas -tres- y que justifica su inclusión en la sección. Para Galium idubedae (Pau ex Debeaux) Pau ex Ehrend. (Galium sect. Leptogalium Lange) se describe una nueva variedad: Galium idubedae var. humile C. Vicioso ex Ortega-Olivencia & Devesa

Classifying C∗C^*-algebras with both finite and infinite subquotients

We give a classification result for a certain class of $C^{*}$-algebras $\mathfrak{A}$ over a finite topological space $X$ in which there exists an open set $U$ of $X$ such that $U$ separates the finite and infinite subquotients of $\mathfrak{A}$. We will apply our results to $C^{*}$-algebras arising from graphs.Comment: Version III: No changes to the text. We only report that Lemma 4.5 is not correct as stated. See arXiv:1505.05951 for the corrected version of Lemma 4.5. As noted in arXiv:1505.05951, the main results of this paper are true verbatim. Version II: Improved some results in Section 3 and loosened the assumptions in Definition 4.