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Real Topological Hochschild Homology of Perfectoid Rings

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arxiv 2310.11183 v3 pith:E5A3OCAL submitted 2023-10-17 math.KT math.AGmath.AT

Jens Hornbostel , Doosung Park This is my paper · ORCID
classification math.KTmath.AGmath.AT
keywords realringshochschildhomologyperfectoidtopologicalbhatt-morrow-scholzecompute
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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.

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