{"paper":{"title":"Continuous and discrete flows on operator algebras","license":"","headline":"","cross_cats":["math.DS"],"primary_cat":"math.OA","authors_text":"Benjam\\'in Itz\\'a-Ortiz","submitted_at":"2005-10-05T22:18:21Z","abstract_excerpt":"Let $(N,\\R,\\theta)$ be a centrally ergodic W* dynamical system. When $N$ is not a factor, we show that, for each $t\\not=0$, the crossed product induced by the time $t$ automorphism $\\theta_t$ is not a factor if and only if there exist a rational number $r$ and an eigenvalue $s$ of the restriction of $\\theta$ to the center of $N$, such that $rst=2\\pi$. In the C* setting, minimality seems to be the notion corresponding to central ergodicity. We show that if $(A,\\R,\\alpha)$ is a minimal unital C* dynamical system and $A$ is either prime or commutative but not simple, then, for each $t\\not=0$, the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0510111","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"}