{"id":"W2003173901","doi":"10.1016/j.aim.2010.04.006","title":"Nonseparable UHF algebras I: Dixmier's problem","year":2010,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Counterexample; Cardinality (data modeling); Axiom; Separable space; Set (abstract data type); Discrete mathematics; Pure mathematics; Algebra over a field; Mathematical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001114945,0.0003753006,0.000602508,0.0002406197,0.0001613067,0.00008305407,0.0007820698,0.0001979355,0.0007878836],"category_scores_gemma":[0.001828964,0.0003298582,0.0001059248,0.0006754623,0.000267473,0.0009600809,0.000234511,0.001036774,0.0003289642],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000842864,"about_ca_system_score_gemma":0.0001129371,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003832682,"about_ca_topic_score_gemma":0.0004303587,"domain_scores_codex":[0.9970757,0.00006853708,0.0008251034,0.0004978743,0.0006997378,0.0008330471],"domain_scores_gemma":[0.9969027,0.001396908,0.0002459676,0.001098502,0.0001649022,0.0001910153],"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":[0.0000264561,0.0008567207,0.001725629,0.001026585,0.00002692695,0.00006382462,0.001426818,0.0001659916,0.004400087,0.9805202,0.0005540792,0.009206641],"study_design_scores_gemma":[0.0006396077,0.00006185059,0.0000526218,0.0001597353,0.00001419803,0.00005506429,0.0003648257,0.002193682,0.004107454,0.9795096,0.01239332,0.0004480631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.7357632,0.001344877,0.04390004,0.0006693055,0.001219407,0.004825662,0.00004303431,0.0008993732,0.2113351],"genre_scores_gemma":[0.1499821,0.0002959716,0.8455759,0.00006680756,0.0001709214,0.0005132626,0.000006125562,0.0001579116,0.003231006],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8016759,"threshold_uncertainty_score":0.9999154,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02306269855142387,"score_gpt":0.3668175942688414,"score_spread":0.3437548957174176,"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."}}