Rational computations of the topological K-theory of classifying spaces of discrete groups

DOI10.1515/CRELLE.2007.078zbMath1144.55007arXivmath/0507237MaRDI QIDQ5424849

Wolfgang Lück

Publication date: 6 November 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507237

zbMATH Keywords

classifying spaces\(K\)-theoryequivariant \(K\)-theoryequivariant cohomology theoryChern characterBorel cohomologyequivariant Chern characterrational \(K\)-theoryBorel \(K\)-cohomology

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Equivariant homology and cohomology in algebraic topology (55N91) Topological (K)-theory (55N15) Equivariant (K)-theory (19L47) Geometric applications of topological (K)-theory (19L64)

Related Items

Isometric group actions and the cohomology of flat fiber bundles, The Segal conjecture for infinite discrete groups, Topological \(K\)-(co)homology of classifying spaces of discrete groups, Proper Equivariant Stable Homotopy Theory, Yang-Mills theory over surfaces and the Atiyah-Segal theorem, Homotopy colimits of classifying spaces of abelian subgroups of a finite group, On the topology of moduli spaces of non-negatively curved Riemannian metrics

Cites Work

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