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 Kasparov product at this level. This machinery is used to give a characterisation of the analytic assembly map as a natural map of spectra.

Here is a more recent version of this paper.

Paul D. Mitchener <mitch@math.jussieu.fr>