{"paper":{"title":"A Non-commutative Wiener-Wintner Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Semyon Litvinov","submitted_at":"2014-05-17T19:06:57Z","abstract_excerpt":"For a von Neumann algebra $\\cal M$ with a faithful normal tracial state $\\tau$ and a positive ergodic homomorphism $\\alpha:\\mathcal L^1(\\mathcal M,\\tau)\\to \\mathcal L^1(\\mathcal M,\\tau)$ such that $\\alpha$ does not increase the norm in $\\mathcal M$ and $\\tau \\circ \\alpha=\\tau$, we establish a non-commutative counterpart of the classical Wiener-Wintner Theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4427","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"}