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

2002/02/05 by Paul D. Mitchener, Mitchener, Paul D.
Mathematics · #19K35 #55P42 #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.KT #msc:19K35 #msc:55P42

paper · pdf · doi:10.48550/arxiv.math/0202037

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

openalex publication_date 2002/02/05 · arxiv created 2002/04/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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