{"id":"W2147059495","doi":"10.1142/s0129167x09005285","title":"A REPRESENTATION THEOREM FOR LOCALLY COMPACT QUANTUM GROUPS","year":2009,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":96,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"National Science Foundation","keywords":"Mathematics; Bounded function; Subalgebra; Centralizer and normalizer; Locally compact space; Compact quantum group; Pure mathematics; Locally compact group; Algebra over a field; Discrete mathematics; 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":[0.001065768,0.0001544303,0.0003680793,0.0002382513,0.00005328821,0.0001121714,0.0007191385,0.00006567869,0.00007604685],"category_scores_gemma":[0.003020053,0.0001211486,0.0002534926,0.00013435,0.00005311491,0.0003754715,0.00002941753,0.0002313535,0.00001165047],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001624761,"about_ca_system_score_gemma":0.0001013564,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.931066e-7,"about_ca_topic_score_gemma":0.00000130449,"domain_scores_codex":[0.9976873,0.00005777649,0.0008862034,0.0001237925,0.001034121,0.0002108222],"domain_scores_gemma":[0.9961669,0.001325954,0.0006797193,0.000219099,0.0014992,0.0001091601],"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":[0.0002717289,0.0008965012,0.00007732264,0.00005137405,0.0002663159,0.00007001111,0.001857765,0.0003672293,0.005217514,0.9791518,0.005936472,0.005835962],"study_design_scores_gemma":[0.001306875,0.0003897015,0.0001191561,0.0002057428,0.00003680326,0.0002661288,0.0006904947,0.01020872,0.005347159,0.9809533,0.0003469271,0.0001289567],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3201019,0.00007678471,0.6742159,0.003436905,0.0005088451,0.0004096233,0.00001816005,0.00003752662,0.001194296],"genre_scores_gemma":[0.8758,0.00003395593,0.1233149,0.0001714114,0.0004826663,0.000003202559,0.000004067856,0.00002834672,0.0001614156],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5556981,"threshold_uncertainty_score":0.4940295,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07818021420364579,"score_gpt":0.4286390697122566,"score_spread":0.3504588555086108,"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."}}