The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects

This work provides a first step towards the construction of a noncommutative geometry for the quantum Hall effect in the continuum. Taking inspiration from the ideas developed by Bellissard during the 80's, we build a spectral triple for the 𝐶*-algebra of continuous magnetic operators based on...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: De Nittis, Giuseppe, Sandoval, Maximiliano
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211073
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects. Giuseppe De Nittis and Maximiliano Sandoval. SIGMA 16 (2020), 146, 50 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine