{"paper":{"title":"Approximately inner flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"A. Kishimoto","submitted_at":"2014-10-30T00:50:03Z","abstract_excerpt":"When $\\alpha$ is an approximately inner flow on a C$^*$-algebra $A$ and commutes with an automorphism $\\gamma$ of $A$ we may extend $\\alpha$ to a flow $\\bar{\\alpha}$ on the crossed product $A\\times_\\gamma Z$ by setting $\\bar{\\alpha}_t(U)=U$ where $U$ is the canonical unitary implementing $\\gamma$ in $A\\times_\\gamma Z$ and ask whether $\\bar{\\alpha}$ is also approximately inner or not. We will consider very specific examples of this type; some of which we can answer affirmatively."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8213","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"}