{"id":"W1978392533","doi":"10.4153/cjm-2010-008-x","title":"Some Applications of the Perturbation Determinant in Finite von Neumann Algebras","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Spectral Theory in Mathematical Physics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Pure mathematics; Perturbation (astronomy); Von Neumann algebra; Abelian von Neumann algebra; Homotopy; Von Neumann architecture; Algebra over a field; Jordan algebra; Algebra representation","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":[0.0009199213,0.0003057136,0.0004649267,0.001243416,0.0007807286,0.001281945,0.0007049177,0.0005186141,0.001824713],"category_scores_gemma":[0.002723289,0.0002010494,0.0004458946,0.0007251549,0.00241117,0.001903265,0.001481702,0.0009959015,0.0001877622],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001223163,"about_ca_system_score_gemma":0.0004662063,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006499713,"about_ca_topic_score_gemma":0.0004389928,"domain_scores_codex":[0.9994621,0.000179522,0.00002422352,0.0000645716,0.0002141184,0.00005553254],"domain_scores_gemma":[0.9992743,0.0002930318,0.00008053942,0.00006612525,0.0001442403,0.0001417104],"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":[0.000007781396,0.000009806277,0.000116809,0.00001014541,0.000003342915,0.00009284968,0.000082912,0.002454476,0.001007316,0.9938982,0.0001238368,0.002192477],"study_design_scores_gemma":[0.000003095438,0.00001983891,0.0001804777,0.000006525702,0.000002669771,0.0001516442,0.00004131055,0.03679581,0.0009019513,0.9606128,0.00127378,0.0000100721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4515871,0.001695542,0.4645961,0.001492134,0.0004995787,0.00005908007,0.00006836723,0.0003143717,0.07968783],"genre_scores_gemma":[0.9794813,0.0002633254,0.01608658,0.0001114071,0.0001645088,0.00001367539,0.0000169989,0.00003236649,0.00382969],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.001824713,"threshold_uncertainty_score":0.008874714,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02439216306943621,"score_gpt":0.2742639964961808,"score_spread":0.2498718334267446,"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."}}