Real topological Hochschild homology of perfectoid rings

Abstract 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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Publication Details

Journal
Journal of Topology
Published
2025-08-12
DOI
https://doi.org/10.1112/topo.70032
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Real topological Hochschild homology of perfectoid rings

Doosung Park, Jens Hornbostel
Journal of Topology
Homotopy and Cohomology in Algebraic Topology
article

Real topological Hochschild homology of perfectoid rings

Doosung Park, Jens Hornbostel
article en

Abstract

Abstract 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.

Journal of TopologyVol. 18(3)
University of Wuppertal (DE)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 74%
Homotopy and Cohomology in Algebraic Topology
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Real topological Hochschild homology of perfectoid rings — Doosung Park, Jens Hornbostel · Journal of Topology (2025) | TGRS Research Map | TGRS