4 papers
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…
Relating insplittings of 2-graphs and of textile systems
Samantha Brooker, Priyanga Ganesan, Elizabeth Gillaspy +3
The graphical operation of insplitting is key to understanding conjugacy of shifts of finite type (SFTs) in both one and two dimensions. In this paper, we consider two approaches t…
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…
Quantum metrics from the trace on full matrix algebras
Konrad Aguilar, Samantha Brooker
We prove that, in the sense of the Gromov-Hausdorff propinquity, certain natural quantum metrics on the algebras of -matrices are separated by a positive distance when n…