The Atiyah-Segal completion theorem in twisted \(K\)-theory

DOI10.2140/agt.2012.12.1925zbMath1260.55008arXiv0809.1273OpenAlexW2036194180MaRDI QIDQ691533

Anssi Lahtinen

Publication date: 3 December 2012

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.1273

zbMATH Keywords

completionequivariant \(K\)-theorytwisted \(K\)-theory

Mathematics Subject Classification ID

Topological (K)-theory (55N15) Equivariant homotopy theory in algebraic topology (55P91) Equivariant (K)-theory (19L47) Twisted (K)-theory; differential (K)-theory (19L50)

Related Items (7)

Actions of totally disconnected groups and equivariant singular homology ⋮ A completion theorem for fusion systems ⋮ The completion theorem in twisted equivariant K-theory for proper actions ⋮ Segal's Spectral Sequence in Twisted Equivariant K-theory for Proper and Discrete Actions ⋮ Classifying space for quantum contextuality ⋮ Godeaux–Serre varieties and the étale index ⋮ Twisted \(K\)-theory for actions of Lie groupoids and its completion theorem

Cites Work

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• Equivariant stable homotopy and Segal's Burnside ring conjecture
• A generalization of the Atiyah-Segal completion theorem
• A generalization of the Segal conjecture
• The representation ring of a compact Lie group
• Equivariant \(K\)-theory and completion
• Loop groups and twisted K -theory I
• Twisted equivariantK-theory with complex coefficients

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