Proceedings of the Steklov Institute of Mathematics

, Volume 279, Issue 1, pp 181–193 | Cite as

Magnetic Bloch theory and noncommutative geometry

  • A. G. Sergeev


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.


STEKLOV Institute Fundamental Domain Noncommutative Geometry Projective Representation Chern Character 
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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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