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 between K-theory and cyclic cohomology theory, we identify this geometric invariant with a topological index, thereby giving the Hall conductivity a new interpretation.
| Original language | English |
|---|---|
| Pages (from-to) | 29-50 |
| Number of pages | 22 |
| Journal | Communications in Mathematical Physics |
| Volume | 119 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1988 |
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