{"id":"W3098570461","doi":"","title":"3 AUTOMORPHISMS AND DILATION THEORY OF TRIANGULAR UHF ALGEBRAS","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Automorphism; Semidirect product; Pure mathematics; Dilation (metric space); Abelian group; Group (periodic table); Crossed product; Algebra over a field; Combinatorics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000316994,0.0002462117,0.0002500563,0.0005266282,0.0009739789,0.0009717112,0.0003886651,0.0005083483,0.005033118],"category_scores_gemma":[0.0005537287,0.0001321898,0.0007378785,0.00030144,0.001440971,0.001839977,0.0008969764,0.0005729604,0.0005331117],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009246318,"about_ca_system_score_gemma":0.0003326487,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001838683,"about_ca_topic_score_gemma":0.0008416758,"domain_scores_codex":[0.9996824,0.00005762325,0.0000154948,0.00005017934,0.0001003781,0.00009390366],"domain_scores_gemma":[0.9997975,0.00003350687,0.00004513089,0.00003320464,0.00004454983,0.0000460883],"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":[0.00001107896,0.000009097655,0.000244541,0.00001599282,0.000003777912,0.0001155414,0.0002347986,0.001414733,0.002625624,0.9911743,0.0003915845,0.003758829],"study_design_scores_gemma":[0.00001084432,0.00003158317,0.0004596028,0.00001042482,0.000005090183,0.0002136746,0.0002264164,0.009758868,0.002219281,0.9800322,0.007016461,0.00001559379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6299862,0.001348241,0.2138537,0.001678368,0.0004193874,0.00007136418,0.0002199583,0.0002332966,0.1521895],"genre_scores_gemma":[0.9633921,0.0003758378,0.016514,0.0001863995,0.0002092994,0.00002858692,0.0001236114,0.00002652187,0.01914372],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005033118,"threshold_uncertainty_score":0.01683742,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04191299290195361,"score_gpt":0.3015288256297922,"score_spread":0.2596158327278386,"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."}}