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For questions about ring spectra (in homotopy theory).

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Vanishing tate of a $p$-complete spectra

That is how you prove this. Recall that $(-)^\wedge_p \simeq L_{\mathbb{S}/p}(-)$, where $L_E(-)$ is the Bousfield localization with respect to $E$. Now, multiplication by $q$ mod $p$ is an equivalenc …
Noah Riggenbach's user avatar