{"id":"W4406930990","doi":"10.1090/proc/16932","title":"Equivalence of definitions of AF groupoid","year":2025,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Marsden Fund","keywords":"Equivalence (formal languages); Mathematics; Double groupoid; Algebra over a field; Pure mathematics; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.0005917405,0.0001548328,0.0006342477,0.00004483117,0.00008255192,0.000009828487,0.0007656207,0.00004884158,0.00004349812],"category_scores_gemma":[0.002331957,0.0001075286,0.0004303872,0.001162506,0.001678176,0.000103939,0.000487966,0.0002406038,0.000002406702],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005498632,"about_ca_system_score_gemma":0.00007112382,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006040841,"about_ca_topic_score_gemma":2.200529e-7,"domain_scores_codex":[0.9982972,0.00001458066,0.0006485294,0.0001996124,0.0005628049,0.0002772625],"domain_scores_gemma":[0.997561,0.0009485757,0.0006189882,0.0002755444,0.0005433446,0.00005251212],"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":[0.00001941788,0.0003412056,0.001158158,0.002235881,0.0001165376,3.144509e-8,0.0007955061,8.486583e-7,0.06883752,0.9245574,0.001732803,0.0002046463],"study_design_scores_gemma":[0.0001956183,0.00008268313,0.000501066,0.0003971853,0.00008358254,0.000001769174,0.00256678,0.0002664921,0.1170872,0.8787102,0.00001824647,0.00008922369],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9784086,0.00004308567,0.005195038,0.001049931,0.00001881596,0.00044909,0.00002714781,0.000041114,0.01476711],"genre_scores_gemma":[0.8680493,0.00007864753,0.1315471,0.00008863287,0.000009955339,0.00003746811,1.916267e-7,0.00001914611,0.0001695389],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.126352,"threshold_uncertainty_score":0.618331,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05256816273366256,"score_gpt":0.3526603958898004,"score_spread":0.3000922331561378,"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."}}