{"paper":{"title":"A Factorization Theorem for Smooth Crossed Products","license":"","headline":"","cross_cats":["math.OA"],"primary_cat":"funct-an","authors_text":"Larry B. Schweitzer","submitted_at":"1993-01-29T01:55:37Z","abstract_excerpt":"We show that if E is a Frechet G\\rtimes S(M)-module, for which the canonical map from the projective completion G\\rtimes S(M) {\\widehat \\otimes} E to E is surjective, then every element of E can be written as a finite sum of elements of the form ae where e\\in E and a is an element of the smooth crossed product G\\rtimes S(M). We require that the Schwartz functions S(M) vanish rapidly with repsect to a continuous, proper map \\s : M ---> [0, \\infty)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"funct-an/9301003","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":""},"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"}