Geometric invariants of the quantum Hall effect |
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| Authors: | Jingbo Xia |
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| Affiliation: | (1) Department of Mathematics, State University of New York at Buffalo, 14214 Buffalo, New York, USA |
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| Abstract: | We study the two-dimensional Hall effect with a random potential. The Hall conductivity is identified as a geometric invariant associated with an algebra of observables. Using the pairing betweenK-theory and cyclic cohomology theory, we identify this geometric invariant with a topological index, thereby giving the Hall conductivity a new interpretation.Supported in part by the National Science Foundation under Grant No. DMS-8717185 |
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