{"id":"W2315816079","doi":"10.4153/cjm-2014-022-5","title":"All Irrational Extended Rotation Algebras are AF Algebras","year":2014,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; Fields Institute for Research in Mathematical Sciences","keywords":"Irrational number; Mathematics; Rotation (mathematics); Algebra over a field; Pure mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009500319,0.0004455248,0.0004357585,0.0009504239,0.0008025787,0.001754158,0.0004159226,0.0003073232,0.007702634],"category_scores_gemma":[0.001562683,0.0001838557,0.0004684294,0.0007278767,0.002024232,0.003238514,0.0008854323,0.001065306,0.001249256],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005348386,"about_ca_system_score_gemma":0.0004226044,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006178077,"about_ca_topic_score_gemma":0.0003498681,"domain_scores_codex":[0.999116,0.0001833942,0.00005832979,0.0001871331,0.0002371372,0.0002179266],"domain_scores_gemma":[0.9988081,0.0001750433,0.0002653782,0.000149008,0.0004167781,0.0001856276],"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":[0.0000856787,0.00002322956,0.0004444568,0.00003964621,0.0000100328,0.0001487202,0.0001858009,0.000831844,0.003805611,0.9809183,0.001304,0.01220267],"study_design_scores_gemma":[0.00002122006,0.00004969342,0.0007045439,0.00001588338,0.000008465006,0.0003992904,0.0001507814,0.003143673,0.002261514,0.982382,0.01083536,0.00002762118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5917162,0.001834374,0.2328864,0.001229486,0.0006557794,0.00009963574,0.0007173247,0.0007228176,0.1701379],"genre_scores_gemma":[0.9698751,0.0004419505,0.01764213,0.0002106363,0.0002810583,0.00004735419,0.0002950419,0.00005706605,0.01114964],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007702634,"threshold_uncertainty_score":0.02576792,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05053571687441923,"score_gpt":0.3208182661489868,"score_spread":0.2702825492745676,"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."}}