{"id":"W2953162977","doi":"10.48550/arxiv.0805.3195","title":"Hecke algebras from groups acting on trees and HNN extensions","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Automorphism; Pure mathematics; Hecke algebra; Vertex (graph theory); Subalgebra; Algebra over a field; Discrete mathematics; Graph","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002899064,0.0005779719,0.0007976051,0.0001975248,0.0004043911,0.00008453229,0.0005449484,0.0004931042,0.00022839],"category_scores_gemma":[0.002106805,0.0005262819,0.0001886419,0.0001705387,0.0002238424,0.0001624234,0.001529282,0.001982897,0.000402544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001698308,"about_ca_system_score_gemma":0.0001469957,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001615339,"about_ca_topic_score_gemma":0.0001267688,"domain_scores_codex":[0.9968151,0.0002141838,0.0005735428,0.001138191,0.0006283449,0.0006305889],"domain_scores_gemma":[0.9960729,0.00169501,0.0002674307,0.001485115,0.000182374,0.0002971992],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"observational","study_design_scores_codex":[0.001161405,0.004062576,0.7880948,0.001924892,0.00334057,0.004652637,0.02266932,0.001145956,0.05791139,0.04171801,0.03472595,0.03859255],"study_design_scores_gemma":[0.004424064,0.0006509061,0.4986774,0.003938226,0.0005094596,0.0001434272,0.003901734,0.00257846,0.03682401,0.4380399,0.005635059,0.004677309],"study_design_candidate":"observational","study_design_consensus":"observational","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9953806,0.0005019269,0.0006068073,0.000488707,0.0003889408,0.0006515662,0.00008116265,0.0002893201,0.001610914],"genre_scores_gemma":[0.9876507,0.0009930733,0.009288008,0.000251242,0.0005702841,0.00006834856,0.0000692919,0.0001717385,0.0009373218],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3963219,"threshold_uncertainty_score":0.9997188,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1543859134266923,"score_gpt":0.3700478544860482,"score_spread":0.2156619410593559,"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."}}