The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: De Nittis, Giuseppe, Sandoval, Maximiliano
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211073
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: The Noncommutative Geometry of the Landau Hamiltonian: Metric Aspects. Giuseppe De Nittis and Maximiliano Sandoval. SIGMA 16 (2020), 146, 50 pages

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...