{"paper":{"title":"Tensor C*-categories arising as bimodule categories of II_1 factors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.OA","authors_text":"S\\'ebastien Falgui\\`eres, Sven Raum","submitted_at":"2011-12-17T21:24:30Z","abstract_excerpt":"We prove that if C is a tensor C*-category in a certain class, then there exists an uncountable family of pairwise non stably isomorphic II_1 factors (M_i) such that the bimodule category of M_i is equivalent to C for all i. In particular, we prove that every finite tensor C*-category is the bimodule category of a II_1 factor. As an application we prove the existence of a II_1 factor for which the set of indices of finite index irreducible subfactors is {1, \\frac{5 + \\sqrt{13}}{2}, 12 + 3\\sqrt{13}, 4 + \\sqrt{13}, \\frac{11 + 3\\sqrt{13}}{2}, \\frac{13 + 3\\sqrt{13}}{2}, \\frac{19 + 5\\sqrt{13}}{2}, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4088","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"}