11 papers
Rapidly growing AF algebras
Konrad Aguilar, Stephan Ramon Garcia, Evelyne Knight +2
We introduce certain families of AF algebras associated to Bratteli diagrams arising from numerical semigroup theory, a branch of combinatorics. Curry-Schoenberg B-splines, staples…
The Bures metric and the quantum metric on the density space of a C*-algebra: the non-unital case
Konrad Aguilar, Karina Behera, Katrine von Bornemann Hjelmborg +4
Building off work of Farenick and Rahaman, we extend the definition of the density space and the Bures metric to the setting of non-unital C*-algebras equipped with a faithful trac…
Spectral Triples on a non-standard presentation of Effros-Shen AF algebras
Konrad Aguilar, Samantha Brooker, Jack Spielberg
The Effros-Shen algebra corresponding to an irrational number can be described by an inductive sequence of direct sums of matrix algebras, where the continued fraction expansio…
Locally recoverable algebro-geometric codes from projective bundles
Konrad Aguilar, Angelynn Álvarez, René Ardila +3
A code is locally recoverable when each symbol in one of its code words can be reconstructed as a function of other symbols. We use bundles of projective spaces over a line to…
On the Bures metric, C*-norm, and the quantum metric
Konrad Aguilar, Karina Behera, Tron Omland +1
We prove that the topology on the density space with respect to a unital C*-algebra and a faithful induced by the C*-norm is finer than the Bures metric topology. We also provide a…
The Fell topology and the modular Gromov-Hausdorff propinquity
Konrad Aguilar, Jiahui Yu
Given a unital AF-algebra equipped with a faithful tracial state, we equip each (norm-closed two-sided) ideal of with a metrized quantum vector bundle structure, when canon…