\(KK\)-theory of \(C^*\)-categories and the analytic assembly map

DOI10.1023/A:1020623132356zbMath1017.19003arXivmath/0202037OpenAlexW2140819034MaRDI QIDQ1866110

Paul D. Mitchener

Publication date: 3 April 2003

Published in: \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202037

zbMATH Keywords

\(KK\)-theoryKasparov productassembly map\(C^*\)-categorymap of spectra

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Kasparov theory ((KK)-theory) (19K35)

Related Items (6)

\(C^*\)-categories, groupoid actions, equivariant \(KK\)-theory, and the Baum--Connes conjecture ⋮ Morita homotopy theory of \(\mathrm{C}^\ast\)-categories ⋮ \(K\)-theory for topological algebroids ⋮ Mapping surgery to analysis. II: Geometric signatures ⋮ Mapping surgery to analysis. I: Analytic signatures ⋮ Bundles of \(C^*\)-categories. II: \(C^*\)-dynamical systems and Dixmier-Douady invariants

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