Gross–Hopkins duals of higher real K–theory spectra
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- OA-Gross–Hopkins duals of higher real K–theory spectra
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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.
Originalsprog | Engelsk |
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Tidsskrift | Transactions of the American Mathematical Society |
Vol/bind | 372 |
Udgave nummer | 5 |
Sider (fra-til) | 3347-3368 |
ISSN | 0002-9947 |
DOI | |
Status | Udgivet - 2019 |
Links
- https://arxiv.org/pdf/1705.07036
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