Gross–Hopkins duals of higher real K–theory spectra
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- OA-Gross–Hopkins duals of higher real K–theory spectra
Accepted author manuscript, 607 KB, PDF document
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 language | English |
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Journal | Transactions of the American Mathematical Society |
Volume | 372 |
Issue number | 5 |
Pages (from-to) | 3347-3368 |
ISSN | 0002-9947 |
DOIs | |
Publication status | Published - 2019 |
Links
- https://arxiv.org/pdf/1705.07036
Submitted manuscript
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