{"id":"W2138963750","doi":"10.1016/j.jfa.2008.12.015","title":"The Elliott conjecture for Villadsen algebras of the first type","year":2009,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Divisibility rule; Conjecture; Pure mathematics; Equivalence (formal languages); Algebraic number; Bounded function; Dimension (graph theory); Rank (graph theory); Simple (philosophy); Class (philosophy); Type (biology); Combinatorics; Algebra over a field; 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":[0.0007495035,0.0001049415,0.0003202464,0.0001611996,0.0003157895,0.00003507457,0.0003466666,0.00005910408,0.0001270732],"category_scores_gemma":[0.001261687,0.00004886316,0.0006369517,0.001188613,0.00008158845,0.00008526547,0.00002693321,0.0002490224,0.000002553654],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007375002,"about_ca_system_score_gemma":0.0001339955,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001355359,"about_ca_topic_score_gemma":0.00004946809,"domain_scores_codex":[0.9984817,0.00006120448,0.0005170697,0.00009571924,0.0006781173,0.0001661921],"domain_scores_gemma":[0.9969211,0.001220136,0.0004870134,0.0002747864,0.001041657,0.00005533943],"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":[0.005172523,0.001487989,0.03648776,0.0002156954,0.0290623,0.00002738604,0.001059228,0.1153922,0.01726084,0.5605248,0.2177027,0.01560659],"study_design_scores_gemma":[0.002250045,0.00150219,0.07945555,0.00008054721,0.005430033,0.0001353934,0.000580253,0.006379914,0.009802043,0.8157446,0.07822887,0.0004105031],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8501999,0.003122669,0.09245013,0.05063487,0.001283454,0.0008468901,0.00005151343,0.00002788424,0.001382698],"genre_scores_gemma":[0.9961168,0.0000739809,0.002035949,0.0002610251,0.0003541183,0.000002098626,0.000001506764,0.0000103959,0.001144188],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2552199,"threshold_uncertainty_score":0.2428829,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03393574597783652,"score_gpt":0.3263589365028418,"score_spread":0.2924231905250053,"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."}}