Algebraicity in monochromatic homotopy theory
| Autor: | Aambø, Torgeir |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | Using Patchkoria--Pstr\k{a}gowski's version of Franke's algebraicity theorem, we prove that the category of $K_p(n)$-local spectra is exotically equivalent to the category of derived $I_n$-complete periodic comodules over the Adams Hopf algebroid $(E_*, E_*E)$ for large primes. This gives a finite prime result analogous to the asymptotic algebraicity for $\mathrm{Sp}_{K_p(n)}$ of Barthel--Schlank--Stapleton. Comment: Version 2: Fixed a mistake in lemma and shortened the expository material |
| Databáze: | arXiv |
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