Geodesic
Magnetic Bloch theory and noncommutative geometry
Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 193-205.

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An interpretation of the magnetic Bloch theory in terms of noncommutative geometry is given. As an application we obtain a mathematical interpretation of the quantum Hall effect. 
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A. G. Sergeev. Magnetic Bloch theory and noncommutative geometry. Informatics and Automation, Analytic and geometric issues of complex analysis, Tome 279 (2012), pp. 193-205. http://geodesic.mathdoc.fr/item/TRSPY_2012_279_a11/

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