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

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

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K-Theory and Homology, 19K35; 55P42

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http://salesiana.dossiersoluciones.com/handle/123456789/63278

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202037
 http://arxiv.org/abs/math/0202037

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arXiv