 03367 J. Kellendonk, H. SchulzBaldes
 Boundary maps for C*crossed products with R
with an application to the quantum Hall effect
(587K, postscript)
Aug 14, 03

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Abstract. The boundary map in Ktheory arising from the WienerHopf extension
of a crossed product algebra with $\RR$ is the ConnesThom
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 noncommutative Stokes theorem that this map
is dual w.r.t. Connes' pairing of cyclic cohomology with Ktheory.
As an application, we prove equality of quantized bulk and edge
conductivities for the integer quantum Hall effect described by
continuous magnetic Schrodinger operators.
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