3 papers
math.OA2025
Spectral Triples for Hensel-Steinitz Algebras
Shelley Hebert, Slawomir Klimek, Matt McBride
We explicitly construct Fredholm modules and spectral triples representing any element of -homology groups of Hensel-Steinitz algebras.
math.OA2025
A Pile of Shifts II: Structure and -Theory
Shelley Hebert, Slawomir Klimek, Matt McBride +1
We discuss -algebras associated with several different natural shifts on the Hilbert space of the -adic tree, continuing the analysis from [Banach J. Math. Anal. 19 (2025),…
math.OA2024
A Pile of Shifts I: Crossed Products
Shelley Hebert, Slawomir Klimek, Matt McBride
We discuss C-algebras associated with several different natural shifts on the Hilbert space of the -adic tree, that is, the tree of balls in the space of -adic integers.