{"id":"W2054832519","doi":"10.4153/cmb-2007-027-1","title":"On the Lack of Inverses to <i>C</i>*-Extensions Related to Property T Groups","year":2007,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Invertible matrix; Tensor product; Extension (predicate logic); Pure mathematics; Property (philosophy); Homotopy; Element (criminal law); Algebra over a field; Product (mathematics); Tensor (intrinsic definition); Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001619541,0.0002278295,0.0003730083,0.0002686997,0.0001977504,0.00003305045,0.0005364622,0.0001291166,0.009096791],"category_scores_gemma":[0.01200747,0.0001289959,0.00009539467,0.0006722164,0.000158494,0.00002056618,0.0001195966,0.0003888058,0.01449346],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002534486,"about_ca_system_score_gemma":0.0001884662,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002566734,"about_ca_topic_score_gemma":0.002381019,"domain_scores_codex":[0.9976714,0.0001068031,0.0005708548,0.000338959,0.0005340027,0.0007780331],"domain_scores_gemma":[0.9953249,0.002280168,0.00005760939,0.0008422398,0.0002584273,0.001236663],"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":[0.00003426182,0.00009123026,0.00001166242,0.0000713252,0.00002475309,0.00006488903,0.0009469687,0.00001389963,0.0008427523,0.8442377,0.1532484,0.0004120451],"study_design_scores_gemma":[0.0004975047,0.0005123114,0.0001444011,0.0006906691,0.00003786715,0.00004930302,0.001953396,0.0001237489,0.007757299,0.8913673,0.09624062,0.0006256101],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8623296,0.00001043248,0.003521307,0.06039724,0.00009707953,0.002416593,0.00003972272,0.00009490867,0.07109311],"genre_scores_gemma":[0.9654445,0.000001240228,0.01374366,0.008927914,0.0000385519,0.00008187669,0.000002243659,0.00009321851,0.01166681],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1031149,"threshold_uncertainty_score":0.9963148,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07986960396032683,"score_gpt":0.3464620512520788,"score_spread":0.266592447291752,"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."}}