Abstract
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We generalize the completion theorem for equivariant
–module
spectra for finite extensions of a torus to compact Lie groups using the splitting of
global functors proved by Schwede. This proves a conjecture of Greenlees and
May.
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Keywords
equivariant complex bordism, local (co)homology,
completion, equivariant stable homotopy theory
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Mathematical Subject Classification
Primary: 55N91, 55P91, 55Q91, 57R85
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Publication
Received: 7 July 2021
Revised: 17 June 2022
Accepted: 15 July 2022
Published: 13 March 2024
Proposed: Haynes R Miller
Seconded: Jesper Grodal, Nathalie Wahl
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