The paper computes topological hochschild homology of perfectoid rings, suggesting new insights into motivic filtrations and cyclic homology.
We refine several results of Bhatt–Morrow–Scholze on to real topological Hochschild homology (). In particular, we compute 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.
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Hornbostel et al. (2025) studied this question.
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