5 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…
A relationship between the Kauffman bracket skein algebras and Roger-Yang skein algebras of some small surfaces
Chloe Marple, Helen Wong
We calculate the Roger-Yang skein algebra of the annulus with two interior punctures, , and show there is a surjective homomorphism from this algebra…
Hyperbolic Handlebody Complements in 3-Manifolds
Colin Adams, Francisco Gomez-Paz, Jiachen Kang +4
Let be a compact and orientable 3-manifold. After capping off spherical boundaries with balls and removing any torus boundaries, we prove that the resulting manifold cont…
Hyperbolicity and Volume of Hyperbolic Bongles
Colin Adams, Francisco Gomez-Paz, Jiachen Kang +5
We consider a simple but infinite class of staked links known as bongles. We provide necessary and sufficient conditions for these bongles to be hyperbolic. Then, we prove that all…
Quantum Gromov-Hausdorff propinquity convergence of Christensen-Ivan quantum metrics on AF algebras
Clay Adams, Konrad Aguilar, Esteban Ayala +2
We provide convergence in the quantum Gromov-Hausdorff propinquity of Latrémolière of some sequences of infinite-dimensional Leibniz compact quantum metric spaces of Rieffel given…