A short proof of telescopic Tate vanishing

Clausen, Dustin; Mathew, Akhil

doi:10.1090/proc/13648

A short proof of telescopic Tate vanishing
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by Dustin Clausen and Akhil Mathew

Proc. Amer. Math. Soc. 145 (2017), 5413-5417

DOI: https://doi.org/10.1090/proc/13648

Published electronically: June 16, 2017

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Abstract:

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.

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A short proof of telescopic Tate vanishing
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Abstract: