5 papers · 1 filter
A Note on Quantum Odometers
Slawomir Klimek, Matt McBride, John Wilson Peoples
We discuss various aspects of noncommutative geometry of smooth subalgebras of Bunce-Deddens-Toeplitz Algebras.
Noncommutative Geometry of the Quantum Disk
Slawomir Klimek, Matt McBride, J. Wilson Peoples
We discuss various aspects of noncommutative geometry of a smooth subalgebra of the Toeplitz algebra. In particular, we study the structure of derivations on this subalgebra.
A Note on Spectral Triples on the Quantum Disk
Slawomir Klimek, Matt McBride, John Wilson Peoples
By modifying the ideas from our previous paper [SIGMA 13 (2017), 075, 26 pages, arXiv:1705.04005], we construct spectral triples from implementations of covariant derivations on th…
Derivations and Reflection Positivity on the Quantum Cylinder
Slawomir Klimek, Matt McBride
We describe the general structure of unbounded derivations in the quantum cylinder. We prove a noncommutative analog of reflection positivity for Laplace-type operators in a noncom…
Unbounded Derivations in Bunce-Deddens-Toeplitz Algebras
Slawomir Klimek, Matt McBride, Sumedha Rathnayake +2
In this paper we study decompositions and classification problems for unbounded derivations in Bunce-Deddens-Toeplitz and Bunce-Deddens algebras. We also look at implementations of…