{"id":"W1998570892","doi":"10.1006/aima.2001.2068","title":"Primitive Limit Algebras and C*-Envelopes","year":2002,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Ideal (ethics); Quotient; Prime (order theory); Pure mathematics; Limit (mathematics); Prime ideal; Quotient algebra; Algebra over a field; Algebra representation; Combinatorics; 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":[],"consensus_categories":[],"category_scores_codex":[0.0003919176,0.0002754794,0.0004470921,0.0001775972,0.0001103879,0.00005461432,0.0003057433,0.0001021132,0.0004174808],"category_scores_gemma":[0.001737602,0.0002425852,0.00004610702,0.000406335,0.0002444498,0.0007396256,0.0001905082,0.0003523829,0.0001188305],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008637895,"about_ca_system_score_gemma":0.00001332397,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.085349e-7,"about_ca_topic_score_gemma":0.00002698246,"domain_scores_codex":[0.9980861,0.00006924741,0.0005233026,0.0003810944,0.0004378619,0.0005024066],"domain_scores_gemma":[0.9977469,0.001444028,0.0001391069,0.0004533099,0.00009285208,0.0001238452],"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":[0.00001484211,0.0007900049,0.002240495,0.001122743,0.0000438885,0.0001077656,0.007876527,0.00003713763,0.0003728644,0.9230727,0.0005494788,0.06377157],"study_design_scores_gemma":[0.0008002755,0.00009704656,0.000263266,0.0003020446,0.0000193165,0.00006090328,0.001797777,0.004558877,0.001469747,0.9844964,0.005665716,0.0004686484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"methods","genre_scores_codex":[0.7710175,0.02291201,0.0385294,0.001339225,0.0003703898,0.002878495,0.00003437763,0.0006573509,0.1622612],"genre_scores_gemma":[0.4606302,0.008473297,0.5272551,0.0001654789,0.0001012895,0.0001855744,0.000002249252,0.0001326123,0.003054217],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.4887256,"threshold_uncertainty_score":0.9892338,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0568124996821163,"score_gpt":0.3475663015382204,"score_spread":0.2907538018561041,"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."}}