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Quantum orbit method for the Connes-Landi-Matsumoto 3-sphere
Ciccoli, Nicola
2021
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e-ISBN
2464-8728
Abstract
We discuss the correspondence between the symplectic fo-liation of a Poisson structure on the 3-sphere and the unitary spectrum of its C∗-algebraic quantization, known as Connes-Landi-Matsumoto 3-sphere. Quantization is obtained via symplectic groupoid quantization and this allows to understand various peculiarities of such correspondence. In the last section we discuss how this relates to quantization of Dirac structures (and foliations) and speculate on how to extend this correspondence to general locally abelian Poisson manifolds.
Publisher
EUT Edizioni Università di Trieste
Source
Nicola Ciccoli, "Quantum orbit method for the Connes-Landi-Matsumoto 3-sphere" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.53 (2021)", EUT Edizioni Università di Trieste, Trieste, 2021. pp. 1-11
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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