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Oct 4 at 11:18 comment added Drew Heard BTW: For finite $G$, I believe the result you want follows from Corollary 4.2 of arxiv.org/pdf/2407.01507
Oct 4 at 10:41 comment added Drew Heard The first spectral sequence can also be identified with the $K(n)$-local $E_n^{hH}$-Adams spectral sequence by ams.org/journals/tran/2005-357-01/S0002-9947-04-03394-X/…. It looks like the claimed isomoprhism might follow from $K(n)$-localization, and then some version of Morava's change of rings theorem.
Oct 4 at 4:37 history asked Max CC BY-SA 4.0