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Tate Frobenius and chromatic blueshift of finite spectra
Abstract
Let p be a prime and n≥ 1. We prove that the Tate-Frobenius of the K(n)-local sphere induces an equivalence between Ln−1LK(n)Y and (LK(n)Y)tΣp ≅ (LnY)tΣp for any finite p-local type n−1 spectrum Y with trivial Σp-action.
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BibTeX
@misc{huang2026tate,
title = {{Tate Frobenius and chromatic blueshift of finite spectra}},
author = {Pengkun Huang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.31806},
eprint = {2610.31806},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.31806},
}
RIS
TY - UNPB
TI - Tate Frobenius and chromatic blueshift of finite spectra
AU - Pengkun Huang
PY - 2026
DA - 2026/10/22
PB - arXiv
DO - 10.48550/arxiv.2610.31806
UR - https://arxiv.org/abs/2610.31806
AB - Let p be a prime and n≥ 1. We prove that the Tate-Frobenius of the K(n)-local sphere induces an equivalence between L_n−1L_K(n)Y and (L_K(n)Y)^tΣ_p ≅ (L_nY)^tΣ_p for any finite p-local type n−1 spectrum Y with trivial Σ_p-action.
ER -