KK-theory of C*-categories and the analytic assembly map, by Paul D. Mitchener

We define KK-theory spectra associated to C*-categories and look at certain instances of the analytic assembly map at this level. This machinery is used to give a description of the analytic assembly map as a natural map of spectra.

This paper is an updated version of an earlier paper of the same name submitted to the K-theory archive. The machinery in the new version works in greater generality than that in the old version.

Paul D. Mitchener <mitch@uni-math.gwdg.de>