Shelley Hebert

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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 $K$ -homology groups of Hensel-Steinitz algebras.

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 $s$ -adic tree, that is, the tree of balls in the space of $s$ -adic integers.

math.OA2024

Noncommutative Geometry of Hensel-Steinitz Algebras

Shelley Hebert, Slawomir Klimek, Matt McBride +1

We discuss various aspects of noncommutative geometry of smooth subalgebras of Hensel-Steinitz algebras. In particular we study the structure of derivations and $K$ -Theory of those…