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- W3216633777 abstract "Following an idea of Hopkins, we construct a model of the determinant sphere $$Slangle {text {det}}rangle $$ in the category of K(n)-local spectra. To do this, we build a spectrum which we call the Tate sphere S(1). This is a p-complete sphere with a natural continuous action of $$mathbb {Z}_p^times $$ . The Tate sphere inherits an action of $$mathbb {G}_n$$ via the determinant and smashing Morava E-theory with S(1) has the effect of twisting the action of $$mathbb {G}_n$$ . A large part of this paper consists of analyzing continuous $$mathbb {G}_n$$ -actions and their homotopy fixed points in the setup of Devinatz and Hopkins." @default.
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- W3216633777 date "2021-11-24" @default.
- W3216633777 modified "2023-10-04" @default.
- W3216633777 title "Constructing the determinant sphere using a Tate twist" @default.
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- W3216633777 doi "https://doi.org/10.1007/s00209-021-02864-x" @default.
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