Gross–Hopkins duals of higher real K–theory spectra

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Gross–Hopkins duals of higher real K–theory spectra. / Barthel, Tobias; Beaudry, Agnès; Stojanoska, Vesna.

In: Transactions of the American Mathematical Society, Vol. 372, No. 5, 2019, p. 3347-3368.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Barthel, T, Beaudry, A & Stojanoska, V 2019, 'Gross–Hopkins duals of higher real K–theory spectra', Transactions of the American Mathematical Society, vol. 372, no. 5, pp. 3347-3368. https://doi.org/10.1090/tran/7730

APA

Barthel, T., Beaudry, A., & Stojanoska, V. (2019). Gross–Hopkins duals of higher real K–theory spectra. Transactions of the American Mathematical Society, 372(5), 3347-3368. https://doi.org/10.1090/tran/7730

Vancouver

Barthel T, Beaudry A, Stojanoska V. Gross–Hopkins duals of higher real K–theory spectra. Transactions of the American Mathematical Society. 2019;372(5):3347-3368. https://doi.org/10.1090/tran/7730

Author

Barthel, Tobias ; Beaudry, Agnès ; Stojanoska, Vesna. / Gross–Hopkins duals of higher real K–theory spectra. In: Transactions of the American Mathematical Society. 2019 ; Vol. 372, No. 5. pp. 3347-3368.

Bibtex

@article{203aad5be9504888bc5e2f5991e70e56,
title = "Gross–Hopkins duals of higher real K–theory spectra",
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.",
author = "Tobias Barthel and Agn{\`e}s Beaudry and Vesna Stojanoska",
year = "2019",
doi = "10.1090/tran/7730",
language = "English",
volume = "372",
pages = "3347--3368",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Gross–Hopkins duals of higher real K–theory spectra

AU - Barthel, Tobias

AU - Beaudry, Agnès

AU - Stojanoska, Vesna

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

U2 - 10.1090/tran/7730

DO - 10.1090/tran/7730

M3 - Journal article

AN - SCOPUS:85075147928

VL - 372

SP - 3347

EP - 3368

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 5

ER -

ID: 238632885