KK-theory of C*-categories and the analytic assembly map

Details KK-theory of C*-categories and the analytic assembly map KK-theory of C*-categories and the analytic assembly map

2002-02-05

arxiv.org/abs/math/0202037v2

Mathematics

K-Theory and Homology

This is an updated version of an existing article. In this new version the machinery developed works in greater generality tha

Scientific paper

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 description of the analytic assembly map as a natural map of spectra.

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