English

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

K-Theory and Homology 2007-05-23 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0202037,
  title  = {KK-theory of C*-categories and the analytic assembly map},
  author = {Paul D. Mitchener},
  journal= {arXiv preprint arXiv:math/0202037},
  year   = {2007}
}

Comments

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