44 citations · 67 across the 18 of their papers we have counts for
19 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…
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…
-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 \xrightarrowπ M_n \otimes C(\mathbb{T}) \to 0…
Group actions on multitrees and the -theory of their crossed products
Nathan Brownlowe, Jack Spielberg, Anne Thomas +1
We study group actions on multitrees, which are directed graphs in which there is at most one directed path between any two vertices. In our main result we describe a six-term exac…
Relative graphs and pullbacks of relative Toeplitz graph algebras
Samantha Brooker, Jack Spielberg
In this note we generalize a result from a recent paper of Hajac, Reznikoff and Tobolski (2020). In that paper they give conditions they call admissibility on a pushout diagram in…
AF -algebras from non AF groupoids
Ian Mitscher, Jack Spielberg
We construct ample groupoids from certain categories of paths, and prove that their -algebras coincide with the continued fraction AF algebras of Effros and Shen. The proof re…