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

Paul D. Mitchener
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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.

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Paul D. Mitchener. 2002-04-23. KK-theory of C*-categories and the analytic assembly map. https://arxiv.org/abs/math/0202037

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