{"id":"W1971547439","doi":"10.1016/j.jfa.2008.05.008","title":"Atomic representations of rank 2 graph algebras","year":2008,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":45,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"Engineering and Physical Sciences Research Council","keywords":"Mathematics; Graph; Rank (graph theory); Algebra over a field; Pure mathematics; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008113299,0.0005843777,0.0007019609,0.002096668,0.001645925,0.003264168,0.001009628,0.001219826,0.01185198],"category_scores_gemma":[0.001533512,0.0004572017,0.0006449359,0.001168256,0.001898849,0.004318082,0.001360712,0.001634423,0.0009349946],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006933791,"about_ca_system_score_gemma":0.0006118568,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007238035,"about_ca_topic_score_gemma":0.001085313,"domain_scores_codex":[0.9994594,0.0001123009,0.00002312174,0.00007045311,0.000200623,0.0001341002],"domain_scores_gemma":[0.9991849,0.0002277347,0.0001126381,0.0001497601,0.0001471661,0.0001777409],"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":[0.00001637119,0.00001652333,0.00008744007,0.00001096045,0.000003001383,0.00003626466,0.0001752686,0.0002755319,0.0006029471,0.9959798,0.0007352348,0.002060703],"study_design_scores_gemma":[0.000008586863,0.000008788986,0.000104463,0.00000398847,0.000002922968,0.00005322649,0.00008101269,0.002657633,0.0002023264,0.9955017,0.001368438,0.00000682577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6589631,0.0007638457,0.1903108,0.002229124,0.0006432323,0.0001008433,0.0004819678,0.001056005,0.1454512],"genre_scores_gemma":[0.9513175,0.0003091102,0.01646815,0.0004659642,0.000466078,0.00006168712,0.0002954063,0.0001851425,0.03043099],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01185198,"threshold_uncertainty_score":0.03964889,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06146763885893494,"score_gpt":0.3466503496751423,"score_spread":0.2851827108162074,"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."}}