{"id":"W2069326985","doi":"10.4153/cmb-2005-023-1","title":"The Index Theory Associated to a Non-Finite Trace on a <i>C</i>*-Algebra","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Von Neumann algebra; TRACE (psycholinguistics); Toeplitz matrix; Algebra over a field; Atiyah–Singer index theorem; Index (typography); Affiliated operator; Abelian von Neumann algebra; Von Neumann architecture; Representation theory; Pure mathematics; Algebra representation; Jordan algebra","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00108754,0.0004142314,0.0006431444,0.001719621,0.001678425,0.002623098,0.001012091,0.0009033616,0.003174732],"category_scores_gemma":[0.001347373,0.0002009375,0.0006759324,0.0008628655,0.004055341,0.004024523,0.001347892,0.001239955,0.0003187712],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001415575,"about_ca_system_score_gemma":0.0008439485,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001040867,"about_ca_topic_score_gemma":0.0006655441,"domain_scores_codex":[0.9992812,0.0001414072,0.00004640463,0.0001076319,0.0002670891,0.0001562616],"domain_scores_gemma":[0.9988883,0.0002297229,0.0001655167,0.0001161924,0.0002799993,0.0003202615],"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":[0.00001768995,0.00001482806,0.0001570547,0.00001589978,0.000003987764,0.0001292664,0.0001401927,0.0005961235,0.001707496,0.9955435,0.0002887103,0.00138522],"study_design_scores_gemma":[0.00001455405,0.00005739838,0.0002544752,0.00001170158,0.000005520893,0.0002122444,0.0001228102,0.01166131,0.00165132,0.9845537,0.001436212,0.00001884475],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.720658,0.0005439695,0.1822235,0.001410317,0.0004964841,0.00006400367,0.000149337,0.0002768324,0.09417753],"genre_scores_gemma":[0.9791088,0.0001662161,0.01020781,0.0001740091,0.0002430573,0.00003416269,0.00006076293,0.00005275672,0.009952493],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003174732,"threshold_uncertainty_score":0.01062047,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02040772278012333,"score_gpt":0.2964853205601993,"score_spread":0.276077597780076,"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."}}