{"paper":{"title":"$L^p$-operator algebras associated with oriented graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Guillermo Corti\\~nas, Ma. Eugenia Rodr\\'i guez","submitted_at":"2017-12-23T19:17:30Z","abstract_excerpt":"For each $1\\le p<\\infty$ and each countable oriented graph $Q$ we introduce an $L^p$-operator algebra $\\mathcal{O}^p(Q)$ which contains the Leavitt path $\\mathbb{C}$-algebra $L_Q$ as a dense subalgebra and is universal for those $L^p$-representations of $L_Q$ which are spatial in the sense of N.C. Phillips. For $\\mathcal{R}_n$ the graph with one vertex and $n$ loops ($2\\le n\\le \\infty$), $\\mathcal{O}^p(\\mathcal{R}_n)=\\mathcal{O}^p_n$, the $L^p$-Cuntz algebra introduced by Phillips. If $p\\notin\\{1,2\\}$ and $\\mathcal{S}(Q)$ is the inverse semigroup generated by $Q$, $\\mathcal{O}^p(Q)=F_{\\operato"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08824","kind":"arxiv","version":2},"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"}