 02117 P. Elbau, G.M. Graf
 Equality of bulk and edge Hall conductance revisited
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Mar 11, 02

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Abstract. The integral quantum Hall effect can be explained either as resulting from
bulk or edge currents (or, as it occurs in real samples, as a combination of
both). This leads to different definitions of Hall conductance, which agree
under appropriate hypotheses, as shown by SchulzBaldes et al. by means of
$K$theory. We propose an alternative proof based on a generalization of the
index of a pair of projections to more general operators. The equality of
conductances is an expression of the stability of that index as a flux tube
is moved from within the bulk across the boundary of a sample.
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