7 citations · 22 across the 7 of their papers we have counts for
8 papers
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…
Derivations and Spectral Triples on Quantum Domains II: Quantum Annulus
Slawomir Klimek, Matt McBride, Sumedha Rathnayake
Continuing our study of spectral triples on quantum domains, we look at unbounded invariant and covariant derivations in the quantum annulus. In particular, we investigate whether…
Derivations and Spectral Triples on Quantum Domains I: Quantum Disk
Slawomir Klimek, Matt McBride, Sumedha Rathnayake +2
We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametri…
Spectral Triples for nonarchimedean local fields
Slawomir Klimek, Sumedha Rathnayake, Kaoru Sakai
Using associated trees, we construct a spectral triple for the C-algebra of continuous functions on the ring of integers of a nonarchimedean local field of characterist…
A note on spectral properties of the -adic tree
Slawomir Klimek, Sumedha Rathnayake, Kaoru Sakai
We study the spectrum of the operator , where the operator , introduced in \cite{KMR}, is a forward derivative on the -adic tree, a weighted rooted tree associated to $…
The Quantum Pair of Pants
Slawomir Klimek, Matt McBride, Sumedha Rathnayake +1
We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we d…
A -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 -adic integers by using a rooted tree obtained from coarse-grained approximation of…
A Value Region Problem for Continued Fractions and Discrete Dirac Equations
Slawomir Klimek, Matt McBride, Sumedha Rathnayake +1
Motivated by applications in noncommutative geometry we prove several value range estimates for even convergents and tails, and odd reverse sequences of Stieltjes type continued fr…