{"id":"W3107144887","doi":"10.48550/arxiv.2012.00207","title":"Zappa-Szép actions of groups on product systems","year":2020,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada","keywords":"Product (mathematics); Business; Mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002450943,0.0003530433,0.0006203822,0.0002845909,0.0001260948,0.00003806466,0.0008645841,0.0002395081,0.00007563632],"category_scores_gemma":[0.0004710834,0.0003856314,0.0002326035,0.0006335638,0.0001620926,0.0001439275,0.0008968731,0.001137168,0.000144798],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003594615,"about_ca_system_score_gemma":0.0002495241,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006485344,"about_ca_topic_score_gemma":0.00001971994,"domain_scores_codex":[0.9978576,0.0002259882,0.000320765,0.001020391,0.0002232596,0.0003520017],"domain_scores_gemma":[0.9974129,0.0003439041,0.0003391996,0.001376074,0.0003177907,0.0002101162],"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":[0.0002367979,0.0004416143,0.0005825692,0.001920696,0.0004101168,0.0002948713,0.0003407904,0.08424328,0.001180263,0.9080099,0.002231617,0.0001075121],"study_design_scores_gemma":[0.003318485,0.0009945144,0.0008576614,0.002332744,0.001016642,0.00003147155,0.004107767,0.138698,0.0132514,0.8275834,0.004858491,0.002949402],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9395818,0.00008610502,0.04620886,0.0002154236,0.0008741138,0.001815915,0.0001672059,0.0003705347,0.01068009],"genre_scores_gemma":[0.9962724,0.0001025502,0.0005390162,0.00001077305,0.0002013959,0.000004734267,0.00002079314,0.00006742341,0.002780934],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08042644,"threshold_uncertainty_score":0.9998596,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3093872601536576,"score_gpt":0.2816033932932933,"score_spread":0.02778386686036427,"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."}}