A short proof of telescopic Tate vanishing

We give a short proof of a theorem of Kuhn that Tate constructions for finite group actions vanish in telescopically localized stable homotopy theory. In particular, we observe that Kuhn's theorem is equivalent to the statement that the transfer $BC_{p+} \to S^0$ admits a section after telescop...

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Bibliographic Details
Main Authors Clausen, Dustin, Mathew, Akhil
Format Journal Article
LanguageEnglish
Published 06.08.2016
Subjects
Mathematics - Algebraic Topology
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Summary:We give a short proof of a theorem of Kuhn that Tate constructions for finite group actions vanish in telescopically localized stable homotopy theory. In particular, we observe that Kuhn's theorem is equivalent to the statement that the transfer $BC_{p+} \to S^0$ admits a section after telescopic localization, which in turn follows from the Kahn-Priddy theorem.
Bibliography:CPH-SYM-DNRF92
DOI:10.48550/arxiv.1608.02063