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arxiv: 1901.00077 · v1 · pith:X77Y6ZRGnew · submitted 2019-01-01 · 🧮 math.OA

Derivations and Reflection Positivity on the Quantum Cylinder

classification 🧮 math.OA
keywords reflectioncylinderpositivityderivationsnoncommutativeoperatorsquantumanalog
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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.

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