{"paper":{"title":"Universal property of framed $G$-disc algebras","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Aleksandar Miladinovi\\'c","submitted_at":"2025-06-03T09:49:24Z","abstract_excerpt":"Given a compact Lie group $G$ and its finite subgroup $H$ we prove that the $\\infty$-category of $G/H$-framed $G$-disc algebras taking values in a $G$-symmetric monoidal category $\\underline{\\mathcal{C}}^{\\otimes}$ is equivalent to the $\\infty$-category of $V$-framed $H$-disc algebras (where $V$ is an $H$-representation) which take values in $\\underline{\\mathcal{C}}^{\\otimes}_H$, the underlying $H$-symmetric monoidal subcategory of $\\underline{\\mathcal{C}}^{\\otimes}$. We will use this construction to refine the $C_2$-action on the real topological Hochschild homology to an $O(2)$-action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.02699","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.02699/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}