{"paper":{"title":"Purely infinite simple $C^*$-algebras arising from free product constructions","license":"","headline":"","cross_cats":["math.OA"],"primary_cat":"funct-an","authors_text":"Kenneth J. Dykema, Mikael Rordam","submitted_at":"1996-01-23T18:02:48Z","abstract_excerpt":"Examples of simple, separable, unital, purely infinite $C^*$--algebras are constructed, including:\n (1) some that are not approximately divisible;\n (2) those that arise as crossed products of any of a certain class of $C^*$--algebras by any of a certain class of non--unital endomorphisms;\n (3) those that arise as reduced free products of pairs of $C^*$--algebras with respect to any from a certain class of states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"funct-an/9601004","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"}