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.
Authors
- Doosung Park
- Jens Hornbostel (ORCID: https://orcid.org/0000-0002-8860-820X)
Institutions
- University of Wuppertal (DE)
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
Funders
- Deutsche Forschungsgemeinschaft