A topological version of Levinson's theorem

Abstract

In the framework of scattering theory, we show how the scattering matrix can be related to the projection on the bound states by an index map of K-theory. Pairings with appropriate cyclic cocyles lead naturally to a topological version of Levinson's theorem.

6 pages

References in corpus (1)

• Boundary maps for $C^{\ast }$-crossed products with R with an application to the quantum Hall effect