On the equivariant J-groups. I

DOI10.1007/BF01214823zbMath0521.55011OpenAlexW3012093464MaRDI QIDQ1055032

James E. McClure

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173317

zbMATH Keywords

equivariant K-theoryequivariant J-groupsequivariant Adams conjectureequivariant J homomorphismfinite group actions on CW-complexesspherical G-fibration

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) Equivariant homology and cohomology in algebraic topology (55N91) Topological (K)-theory (55N15) Equivariant homotopy groups (55Q91) (J)-morphism (55Q50)

Related Items (7)

Equivariant Vector Fields on Spheres ⋮ Eilenberg-Mac Lane spectra as equivariant Thom spectra ⋮ Representation forms for metacyclic groups ⋮ Equivariant cross sections of complex Stiefel manifolds ⋮ Real, complex and quaternionic equivariant vector fields on spheres ⋮ Note on the equivariant \(K\)-theory spectrum ⋮ Orders of elements of equivariant \(J\)-groups of complex projective spaces

Cites Work

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• The equivariant Dold theorem mod k and the Adams conjecture
• Transformation groups and representation theory
• The Burnside ring of a compact Lie group. I
• Quasi equivalence of G modules
• \(E_\infty\) ring spaces and \(E_\infty\) ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jorgen Tornehave
• A characterisation of solvable groups
• Equivariant K-theory
• Equivariant \(K\)-theory and completion
• On the groups \(J(X)\). I
• Classification of Oriented Equivariant Spherical Fibrations
• Equivariant Homotopy Theory and Milnor's Theorem
• Equivariant Fibrations and Transfer
• Equivariant Localization
• Classifying spaces and fibrations
• On the K-theory of the extended power construction
• Vector fields on spheres

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