Real Topological Hochschild Homology of Perfectoid Rings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866913947025670144 |
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| author | Hornbostel, Jens Park, Doosung |
| author_facet | Hornbostel, Jens Park, Doosung |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_11183 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Real Topological Hochschild Homology of Perfectoid Rings Hornbostel, Jens Park, Doosung K-Theory and Homology Algebraic Geometry Algebraic Topology 19D55, 11E70, 16E40, 55P91 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. |
| title | Real Topological Hochschild Homology of Perfectoid Rings |
| topic | K-Theory and Homology Algebraic Geometry Algebraic Topology 19D55, 11E70, 16E40, 55P91 |
| url | https://arxiv.org/abs/2310.11183 |