{"id":"W4316494340","doi":"10.4153/s0008439523000061","title":"Invariant means on weakly almost periodic functionals with application to quantum groups","year":2023,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Bounded function; Invariant (physics); Combinatorics; Ideal (ethics); Quantum group; Group algebra; Discrete mathematics; Algebra over a field; Pure mathematics; Mathematical physics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008023721,0.0003049237,0.0003938038,0.0004442971,0.00035365,0.0001212742,0.0004215099,0.0001385953,0.006235066],"category_scores_gemma":[0.00167483,0.0002507353,0.00007186875,0.0009624773,0.0001255392,0.00004483375,0.00006923496,0.0003604119,0.06519562],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004243036,"about_ca_system_score_gemma":0.0003628406,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002923529,"about_ca_topic_score_gemma":0.003065452,"domain_scores_codex":[0.9972813,0.0001018333,0.0004138317,0.0005745964,0.0007507715,0.0008776897],"domain_scores_gemma":[0.9968549,0.0009246293,0.00006178924,0.0007885946,0.0001857216,0.001184351],"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":[0.00005834717,0.00008752248,0.00003556877,0.0001623325,0.00004311541,0.0001180681,0.0007110182,0.0001448329,0.0003904635,0.9310777,0.06665376,0.0005172914],"study_design_scores_gemma":[0.001158142,0.0009693656,0.001192905,0.0006189743,0.00007708993,0.0001476118,0.002194714,0.006592289,0.0007589119,0.7393408,0.2455353,0.001413836],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7569468,0.00002593452,0.1051463,0.09252502,0.0001883818,0.00533224,0.0002974501,0.001035427,0.03850245],"genre_scores_gemma":[0.9800406,0.000004618356,0.008942127,0.002661778,0.0002237065,0.001213628,0.00006744345,0.0001987307,0.006647411],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2230937,"threshold_uncertainty_score":0.9999945,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03400909419262717,"score_gpt":0.2967910701392053,"score_spread":0.2627819759465782,"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."}}