Equivariant K-theory, groupoids and proper actions

DOI10.1017/is011011005jkt173zbMath1254.19008arXiv0803.3244OpenAlexW2004082502MaRDI QIDQ2905334

José Maria Cantarero Lopez

Publication date: 27 August 2012

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3244

zbMATH Keywords

groupoidsproper actionscompletion theoremBredon-compatiblecomplex equivariant \(K\)-theoryextendable \(\mathcal{G}\)-vector bundles

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Equivariant (K)-theory (19L47)

Related Items

Twisted \(K\)-theory for actions of Lie groupoids and its completion theorem, Classifying spaces and Bredon (co)homology for transitive groupoids, Twists over étale groupoids and twisted vector bundles

Cites Work

• Loop groups and twisted \(K\)-theory. III
• Characters and cohomology of finite groups
• Dominant \(K\)-theory and integrable highest weight representations of Kac-Moody groups
• Equivariant K-theory
• Classifying spaces and spectral sequences
• The representation ring of a compact Lie group
• Equivariant \(K\)-theory and completion
• Equivariant representable K-theory
• Twisted equivariantK-theory with complex coefficients
• The completion theorem in \(K\)-theory for proper actions of a discrete group