{"id":"W2949145936","doi":"10.48550/arxiv.1303.4483","title":"Purely infinite partial crossed products","year":2013,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Bijection; Crossed product; Abelian group; Invariant (physics); Mathematics; Pure mathematics; Action (physics); Product (mathematics); Partial oxidation; Combinatorics; Algebra over a field; Physics; Mathematical physics; Geometry; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003736865,0.0004985803,0.0005800161,0.0002698351,0.0002299468,0.0001853317,0.001179409,0.0005004635,0.0005374255],"category_scores_gemma":[0.0009329021,0.0005408799,0.0002017042,0.0006240112,0.0003322102,0.0003757909,0.001912986,0.001431656,0.00094622],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00030683,"about_ca_system_score_gemma":0.0004743763,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008783916,"about_ca_topic_score_gemma":0.00002915629,"domain_scores_codex":[0.9971151,0.0002331872,0.0003511171,0.001337658,0.0002263197,0.0007366636],"domain_scores_gemma":[0.9966155,0.0002984097,0.0002944585,0.00183868,0.0006602462,0.000292668],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0003934353,0.0008757467,0.004555155,0.001916528,0.000668342,0.001247413,0.001042661,0.04905137,0.001767247,0.921891,0.01603152,0.0005595331],"study_design_scores_gemma":[0.002052027,0.0001788124,0.0007292458,0.000326119,0.0002709705,0.00001190584,0.0002500681,0.04570732,0.007634145,0.9314524,0.009560034,0.001826978],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9766622,0.00005703978,0.01740401,0.0001909477,0.000582548,0.001361136,0.00004882057,0.000395336,0.003297917],"genre_scores_gemma":[0.9833227,0.00009051673,0.002699036,0.00004892107,0.0003023281,0.000009838227,0.00003197594,0.00009677075,0.01339786],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01470497,"threshold_uncertainty_score":0.9998317,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1886638138226433,"score_gpt":0.2637143684604943,"score_spread":0.07505055463785101,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}