Abstract
We use the Beilinson -structure on filtered complexes and the Hochschild–Kostant–Rosenberg theorem to construct filtrations on the negative cyclic and periodic cyclic homologies of a scheme with graded pieces given by the Hodge completion of the derived de Rham cohomology of . Such filtrations have previously been constructed by Loday in characteristic zero and by Bhatt–Morrow–Scholze for -complete negative cyclic and periodic cyclic homology in the quasisyntomic case.
Citation
Benjamin Antieau. "Periodic cyclic homology and derived de Rham cohomology." Ann. K-Theory 4 (3) 505 - 519, 2019. https://doi.org/10.2140/akt.2019.4.505
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