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Real Topological Hochschild Homology of Perfectoid Rings (2310.11183v2)
Published 17 Oct 2023 in math.KT, math.AG, and math.AT
Abstract: We refine several results of Bhatt-Morrow-Scholze on THH to THR. In particular, we compute THR of perfectoid rings. This will be useful for establishing motivic filtrations on real topological Hochschild and cyclic homology of quasisyntomic rings. We also establish a real refinement of the Hochschild-Kostant-Rosenberg theorem.