3 papers
math.OA2026
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…
math.OA2025
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 expansi…
math.OA2024
-algebra extensions associated to continued fraction expansions of rational numbers
Jack Spielberg
We solve the isomorphism problem for essential unital -algebra extensions of the form $0 \to \mathcal{K} \oplus \mathcal{K} \to E \xrightarrowÏ M_n \otimes C(\mathbb{T}) \to…