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- W4299342772 abstract "We prove analogs of faithfully flat descent and Galois descent for categories of modules over $E_{infty}$-ring spectra using the $infty$-categorical Barr-Beck theorem proved by Lurie. In particular, faithful $G$-Galois extensions are shown to be of effective descent for modules. Using this we study the category of $ER(n)$-modules, where $ER(n)$ is the $mathbb{Z}/2$-fixed points under complex conjugation of a generalized Johnson-Wilson spectrum $E(n)$. In particular, we show that $ER(n)$-modules is equivalent to $mathbb{Z}$/2-equivariant $E(n)$-modules as stable $infty$-categories." @default.
- W4299342772 created "2022-10-02" @default.
- W4299342772 creator A5007780561 @default.
- W4299342772 date "2013-05-19" @default.
- W4299342772 modified "2023-09-27" @default.
- W4299342772 title "Galois Descent for Real Spectra" @default.
- W4299342772 doi "https://doi.org/10.48550/arxiv.1305.4360" @default.
- W4299342772 hasPublicationYear "2013" @default.
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