{"paper":{"title":"Gevrey Regularity and Compact Quantum Metric Spaces for $L^p$-Group Algebras","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Lin Chen, Qin Wang","submitted_at":"2026-07-03T08:43:29Z","abstract_excerpt":"We introduce the beta-Gevrey lp-rapid decay property (GRD){beta,p}, for 0 < beta <= 1 and 1 <= p < infinity, for countable discrete groups. This property is a subexponential analogue of classical rapid decay, in which polynomial control is replaced by logarithmic subexponential control of order o(R^beta). We establish basic results for (GRD){beta,p}. We then apply this framework to compact quantum metric structures on reduced Lp-group algebras. We introduce strongly dense-core beta-Gevrey regular lp-spectral triples and give two classes of examples. For countable discrete groups satisfying (GR"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03107","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/2607.03107/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"}