Gross–Hopkins duals of higher real K–theory spectra

Tobias Barthel, Agnès Beaudry, Vesna Stojanoska

Research output: Contribution to journalArticle

Abstract

We determine the Gross–Hopkins duals of certain higher real K–theory spectra. More specifically, let p be an odd prime, and consider the Morava E–theory spectrum of height n = p − 1. It is known, in expert circles, that for certain finite subgroups G of the Morava stabilizer group, the homotopy fixed point spectra En hG are Gross–Hopkins self-dual up to a shift. In this paper, we determine the shift for those finite subgroups G which contain p–torsion. This generalizes previous results for n = 2 and p = 3.

Original languageEnglish (US)
Pages (from-to)3347-3368
Number of pages22
JournalTransactions of the American Mathematical Society
Volume372
Issue number5
DOIs
StatePublished - Sep 1 2019

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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