Note on the equivariant \(K\)-theory spectrum

DOI10.2977/prims/1195167052zbMath0811.55010OpenAlexW1989981934MaRDI QIDQ1311663

Kazuhisa Shimakawa

Publication date: 2 May 1995

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195167052

zbMATH Keywords

finite groupequivariant spectraequivariant Adams conjectureequivariant spherical fibrationsconnective \(G\)-spectraequivariant \(J\)-homomorphismsequivariant periodic \(K\)-theoryequivariant real \(K\)-theory

Mathematics Subject Classification ID

Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Equivariant fiber spaces and bundles in algebraic topology (55R91) Stable homotopy theory, spectra (55P42) Equivariant (K)-theory (19L47) (J)-morphism (55Q50)

Related Items (1)

Spectral Mackey functors and equivariant algebraic \(K\)-theory. I.

Cites Work

• Unnamed Item
• On the equivariant J-groups. I
• The equivariant Dold theorem mod k and the Adams conjecture
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Infinite loop G-spaces associated to monoidal G-graded categories
• The transfer map in the KR(G)-theory
• The transfer homomorphism in equivariant generalized cohomology theories
• On the order of certain elements of J(X) and the Adams conjecture
• BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS

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