Matt McBride

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P

-Adic Spectral Triple

7 citations · 7 across the 2 of their papers we have counts for

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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…

math.OA2016

Dirac type operators on the quantum solid torus with global boundary conditions

Slawomir Klimek, Matt McBride

We define a noncommutative space we call the quantum solid torus. It is an example of a noncommutative manifold with a noncommutative boundary. We study quantum Dirac type operator…

math.OA2014★ 7 cited

A $P$ -Adic Spectral Triple

Slawomir Klimek, Matt McBride, Sumedha Rathnayake

We construct a spectral triple for the C $^{*}$ -algebra of continuous functions on the space of $p$ -adic integers by using a rooted tree obtained from coarse-grained approximation of…

Noncommutative Geometry of Hensel-Steinitz Algebras

Dirac type operators on the quantum solid torus with global boundary conditions

A P-Adic Spectral Triple

A $P$ -Adic Spectral Triple