{"id":"W4417372861","doi":"10.1016/j.aim.2025.110738","title":"The K-theory of the C*-algebras associated to rational functions","year":2025,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"European Research Council; Natural Sciences and Engineering Research Council of Canada","keywords":"Rational function; Algebra over a field; Elliptic rational functions; Function (biology); Action (physics)","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.00144445,0.0001535301,0.0002578605,0.000107893,0.0003424756,0.00003418457,0.0006897193,0.00006763426,0.00005646476],"category_scores_gemma":[0.0109543,0.00008991472,0.0000950063,0.001213899,0.0002382343,0.0001695296,0.0002602571,0.0002979457,0.00002104925],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001612884,"about_ca_system_score_gemma":0.000152635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.820956e-7,"about_ca_topic_score_gemma":0.0001903655,"domain_scores_codex":[0.9981949,0.0002213469,0.0006011666,0.000187681,0.0004859668,0.0003088943],"domain_scores_gemma":[0.9935146,0.005331777,0.0001785794,0.0006920914,0.0002462357,0.00003672725],"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":[0.00001892354,0.0001916507,0.0008939466,0.00009593405,0.00003762345,4.795372e-7,0.0004890388,0.0004996679,0.0002307858,0.9928567,0.0009543341,0.003730944],"study_design_scores_gemma":[0.0002616268,0.00002004699,0.0009257491,0.0002296254,0.00001982098,9.447782e-7,0.001411807,0.0005280301,0.001410118,0.991016,0.004081493,0.00009476841],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.394671,0.00455828,0.477332,0.007865069,0.00270708,0.005921309,0.0001270462,0.0003143737,0.1065038],"genre_scores_gemma":[0.9094349,0.0003027446,0.0491243,0.0004755078,0.00007901098,0.0006193935,0.00000525087,0.00008407679,0.03987478],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.514764,"threshold_uncertainty_score":0.9973769,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02453644743380576,"score_gpt":0.3590574311233719,"score_spread":0.3345209836895661,"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."}}