{"id":"W3035397717","doi":"10.2140/pjm.2022.317.317","title":"Purity of the embeddings of operator systemsinto their C∗- and injective envelopes","year":2022,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Injective function; Mathematics; Operator (biology); Identity (music); Embedding; Envelope (radar); Linear map; Pure mathematics; Discrete mathematics; Combinatorics; Physics","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":[0.001269327,0.0005761039,0.0003697845,0.0007937306,0.001620213,0.003434759,0.0007180722,0.0007152798,0.006085004],"category_scores_gemma":[0.003605042,0.000509298,0.001005498,0.0004548387,0.004406677,0.006993168,0.004265947,0.002294354,0.001044434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001052045,"about_ca_system_score_gemma":0.0007565925,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008909841,"about_ca_topic_score_gemma":0.0003846007,"domain_scores_codex":[0.9980794,0.0003483498,0.00009706836,0.0004020355,0.0005705977,0.0005025226],"domain_scores_gemma":[0.9978898,0.0005518706,0.0002965929,0.0005379616,0.0004470664,0.0002767608],"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":[0.00005004194,0.00002987194,0.0007622433,0.00004003244,0.000008303988,0.0001430587,0.001347278,0.001252677,0.004761104,0.9856066,0.0002789116,0.005719928],"study_design_scores_gemma":[0.00001820318,0.00009787702,0.001234651,0.00004421224,0.00002045936,0.0004007435,0.001490877,0.01598085,0.01949629,0.9498518,0.01130578,0.00005839512],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5889813,0.0003481871,0.3250076,0.0009083734,0.0001719771,0.00009050879,0.0002069376,0.0004988277,0.08378641],"genre_scores_gemma":[0.9687229,0.0001826783,0.0205105,0.0001536387,0.00007231345,0.00005281299,0.0001377036,0.0002123148,0.009955151],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006085004,"threshold_uncertainty_score":0.02035636,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03099534153939704,"score_gpt":0.2983426511874665,"score_spread":0.2673473096480695,"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."}}