English

Derivations and Reflection Positivity on the Quantum Cylinder

Operator Algebras 2019-01-03 v1

Abstract

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 noncommutative cylinder following the ideas of Jaffe and Ritter proof of reflection positivity for Laplace operators on manifolds equipped with a reflection.

Keywords

Cite

@article{arxiv.1901.00077,
  title  = {Derivations and Reflection Positivity on the Quantum Cylinder},
  author = {Slawomir Klimek and Matt McBride},
  journal= {arXiv preprint arXiv:1901.00077},
  year   = {2019}
}
R2 v1 2026-06-23T07:00:34.904Z