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Equivariant homotopy theory is the study of how homotopy theory behaves when spaces are considered together with a group action on them.

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$p$-adic equivalence of spectra with $G$-action

In Krause and Nikolaus' "Lectures on topological Hochschild homology and cyclotomic spectra" (which can be found here), there is a lemma I'm trying to understand, but one line in the proof eludes me. …
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