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@article{faucris.110409464,
abstract = {An overview of the integer quantum Hall effect is given. A mathematical framework using nonommutative geometry as defined by Connes is prepared. Within this framework, it is proved that the Hall conductivity is quantized and that plateaux occur when the Fermi energy varies in a region of localized states.},
author = {Bellissard, Jean and van Elst, A. and Schulz-Baldes, Hermann},
doi = {10.1063/1.530758},
faupublication = {no},
journal = {Journal of Mathematical Physics},
note = {UnivIS-Import:2015-03-05:Pub.1994.nat.dma.pma22.thenon},
pages = {5373-5451},
peerreviewed = {Yes},
title = {{The} non-commutative geometry of the quantum {Hall} effect},
url = {http://de.arxiv.org/abs/cond-mat/9411052},
volume = {35},
year = {1994}
}