Equivariant connective \(K\)-theory for compact Lie groups.

DOI10.1016/j.jpaa.2003.07.008zbMath1043.19004OpenAlexW2021493603WikidataQ115345660 ScholiaQ115345660MaRDI QIDQ1420633

John P. C. Greenlees

Publication date: 2 February 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.07.008

zbMATH Keywords

compact Lie groupRees ringequivariant K-Theory

Mathematics Subject Classification ID

Connective (K)-theory, cobordism (19L41) Equivariant homology and cohomology in algebraic topology (55N91) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Topological (K)-theory (55N15) Equivariant homotopy theory in algebraic topology (55P91) Equivariant (K)-theory (19L47)

Related Items

Derived induction and restriction theory, Filtrations of global equivariant \(K\)-theory, Generalized Artin and Brauer induction for compact Lie groups, Circle-equivariant classifying spaces and the rational equivariant sigma genus, Equivariant homotopy theory for pro-spectra, Multiplicative equivariant formal group laws.

Cites Work

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• Algebras over equivariant sphere spectra
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Augmentation ideals of equivariant cohomology rings
• Equivariant forms of connective K-theory
• The universality of equivariant complex bordism
• \(K\)-homology of universal spaces and local cohomology of the representation ring
• Equivariant Formal Group Laws
• From elliptic curves to homotopy theory
• The connective 𝐾-theory of finite groups
• Multiplicative equivariant formal group laws.