Bivariant K-theory via correspondences

DOI10.1016/j.aim.2010.04.024zbMath1207.19003arXiv0812.4949OpenAlexW2061919191MaRDI QIDQ1959681

Ralf Meyer, Heath Emerson

Publication date: 7 October 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.4949

zbMATH Keywords

groupoidscorrespondencesKasparov theory

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Kasparov theory ((KK)-theory) (19K35)

Related Items (18)

Baum-Connes and the Fourier-Mukai transform ⋮ Geometric K-homology with coefficients I: ℤ/kℤ-cycles and Bockstein sequence ⋮ Positive scalar curvature and Poincaré duality for proper actions ⋮ Equivariant geometric K-homology for compact Lie group actions ⋮ Tambara-Yamagami, loop groups, bundles and KK-theory ⋮ Geometric construction of classes in van Daele’s K-theory ⋮ A geometric approach to $K$-homology for Lie manifolds ⋮ On finiteness conditions in twisted \(K\)-theory ⋮ Equivariant embedding theorems and topological index maps ⋮ Motivic bivariant characteristic classes ⋮ Equivariant Kasparov theory of finite groups via Mackey functors ⋮ Topics of motivic characteristic classes ⋮ Enriched categories of correspondences and characteristic classes of singular varieties ⋮ Cobordism bicycles of vector bundles ⋮ The ring structure of twisted equivariant \(KK\)-theory for noncompact Lie groups ⋮ Analytic and topological index maps with values in the \(K\)-theory of mapping cones ⋮ The class of a fibre in noncommutative geometry ⋮ Analysis of gauge-equivariant complexes and a topological index theorem for gauge-invariant families

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