6 papers
Rapid Decay Subalgebras of C-Algebras
Shelley Hebert, Slawomir Klimek, Matt McBride
We introduce a general scheme of constructing smooth subalgebras of C-algebras that are closed under the smooth calculus of self-adjoint elements. We illustrate the scheme with…
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.
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),…
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.
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 -Theory of those…
Crossed Product C-algebras Associated With -adic Multiplication
Shelley Hebert, Slawomir Klimek, Matt McBride +1
We introduce and investigate some examples of C-algebras which are related to multiplication maps in the ring of -adic integers. We find ideals within these algebras and use…