- 03-367 J. Kellendonk, H. Schulz-Baldes
- Boundary maps for C*-crossed products with R
with an application to the quantum Hall effect
Aug 14, 03
(auto. generated ps),
of related papers
Abstract. The boundary map in K-theory arising from the Wiener-Hopf extension
of a crossed product algebra with $\RR$ is the Connes-Thom
isomorphism. In this article, the Wiener Hopf extension is combined
with the Heisenberg group algebra to provide an elementary
construction of a corresponding map in cyclic cohomology. It then
follows directly from a non-commutative Stokes theorem that this map
is dual w.r.t. Connes' pairing of cyclic cohomology with K-theory.
As an application, we prove equality of quantized bulk and edge
conductivities for the integer quantum Hall effect described by
continuous magnetic Schrodinger operators.