{"paper":{"title":"Simple reduced $L^p$ operator crossed products with unique trace","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Sanaz Pooya, Shirin Hejazian","submitted_at":"2014-02-13T17:37:02Z","abstract_excerpt":"In this article we study simplicity and traces of reduced $L^p$ operator crossed products $F^p_{\\mathrm{r}}(G, A, \\alpha)$. Given $p \\in (1, \\infty)$, let $G$ be a Powers group, and let $\\alpha \\colon G \\to Aut(A)$ be an isometric action of $G$ on a unital $L^p$ operator algebra $A$ such that $A$ is $G$-simple. We prove that the reduced $L^p$ operator crossed product of $A$ by $G$, $F^p_{\\mathrm{r}}(G, A, \\alpha)$, is simple. Moreover, we show that traces on $F^p_{\\mathrm{r}}(G, A, \\alpha)$ are in correspondence with $G$-invariant traces on A. Our results generalize the results obtained by de "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3233","kind":"arxiv","version":3},"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"}