{"id":"W2966675631","doi":"10.1090/proc/14780","title":"On the size of orbits in the duals of 𝐶*-algebras and convolution algebras","year":2019,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Dual polyhedron; Convolution (computer science); Pure mathematics; Mathematics; Algebra over a field; Computer science; Artificial intelligence","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002454937,0.0005491219,0.001400235,0.001809139,0.001972925,0.004819829,0.001857229,0.001539941,0.01110186],"category_scores_gemma":[0.01187682,0.0005683077,0.001220167,0.0007847651,0.004402507,0.01256371,0.004426343,0.002917465,0.0007229226],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001582196,"about_ca_system_score_gemma":0.0009432466,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009847747,"about_ca_topic_score_gemma":0.0005665916,"domain_scores_codex":[0.9984842,0.0003931453,0.0000904192,0.000384784,0.0003767521,0.0002706876],"domain_scores_gemma":[0.9895759,0.006455001,0.0008972199,0.001026252,0.0008028397,0.001242789],"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":[0.00008765612,0.00001587849,0.0004379259,0.00005295264,0.000008051772,0.00004206878,0.0002269212,0.0006289782,0.0005716623,0.9945558,0.0006256173,0.002746454],"study_design_scores_gemma":[0.00001449834,0.00001448001,0.0002181432,0.0000155622,0.00000748857,0.00005756508,0.00008825901,0.005346167,0.0004823682,0.9929269,0.0008188935,0.000009741977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7123722,0.003102994,0.2033736,0.006832299,0.0004167842,0.00007208298,0.001033269,0.0004407,0.07235596],"genre_scores_gemma":[0.9764947,0.0008034866,0.01424317,0.0003084407,0.0003915498,0.00007280537,0.0003488301,0.0001635709,0.007173404],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01110186,"threshold_uncertainty_score":0.03713936,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02237824064903542,"score_gpt":0.3057159622097557,"score_spread":0.2833377215607202,"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."}}