{"id":"W2049873560","doi":"10.4153/cmb-2001-033-6","title":"Inductive Limit Toral Automorphisms of Irrational Rotation Algebras","year":2001,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Automorphism; Irrational number; Pure mathematics; Invariant (physics); Limit (mathematics); Direct limit; Mathematical analysis; Mathematical physics; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0004729644,0.000214131,0.0003776714,0.0002482335,0.0001393121,0.00004321349,0.0003061226,0.0001691377,0.02342175],"category_scores_gemma":[0.00214089,0.0002048666,0.00009726656,0.0003531838,0.0002316151,0.00009747093,0.00004556953,0.0002981701,0.003106144],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003452634,"about_ca_system_score_gemma":0.0004402018,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004136446,"about_ca_topic_score_gemma":0.001404199,"domain_scores_codex":[0.9979556,0.0001143104,0.0005409162,0.0003058638,0.0005474895,0.0005358082],"domain_scores_gemma":[0.9979651,0.0006137739,0.0001239886,0.0003980528,0.0003378992,0.0005611742],"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":[0.00002702624,0.0001619183,0.0004005447,0.0001177997,0.00005858223,0.00008612234,0.0006896171,0.00001417095,0.0006772972,0.9779285,0.01801766,0.001820777],"study_design_scores_gemma":[0.0006209975,0.0001537753,0.0006896322,0.0001229287,0.00003412817,0.00008187413,0.0005067492,0.000784905,0.001549418,0.9785681,0.01653552,0.0003520189],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.944309,0.00004995908,0.01650773,0.009679665,0.000117679,0.001087393,0.00005954496,0.000115445,0.02807357],"genre_scores_gemma":[0.9344456,0.000004928182,0.06124141,0.0003373282,0.0001401195,0.0001081621,0.00002254757,0.00006749701,0.003632477],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.04473367,"threshold_uncertainty_score":0.9976701,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05887063062718419,"score_gpt":0.3207245259621142,"score_spread":0.26185389533493,"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."}}