{"id":"W2962864206","doi":"10.4153/cmb-2015-081-8","title":"Perturbations of Von Neumann Subalgebras With Finite Index","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Von Neumann algebra; Mathematics; Von Neumann architecture; Abelian von Neumann algebra; Affiliated operator; Unitary state; Pure mathematics; Von Neumann's theorem; Algebra over a field; Index (typography); Neumann boundary condition; Neumann series; Jordan algebra; Mathematical analysis; Algebra representation; Hilbert space; Boundary value problem","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001231956,0.0003238404,0.0006506066,0.0007433026,0.0008885979,0.00114214,0.0007039369,0.0005177968,0.002565782],"category_scores_gemma":[0.004570656,0.0002847372,0.0005231508,0.0003643428,0.00253431,0.002864285,0.002344886,0.001055213,0.0002107361],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009941848,"about_ca_system_score_gemma":0.0004133717,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006673055,"about_ca_topic_score_gemma":0.0003570918,"domain_scores_codex":[0.9985586,0.0004255401,0.00007223953,0.0001977261,0.0005275351,0.0002183874],"domain_scores_gemma":[0.9976988,0.0006818462,0.000459328,0.0003558051,0.0003599563,0.0004442845],"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":[0.0001337429,0.0000581162,0.001276331,0.00003078168,0.00003624133,0.000321102,0.0003774806,0.01521899,0.01351539,0.96608,0.0002151148,0.002736746],"study_design_scores_gemma":[0.0000257305,0.0001785732,0.001760579,0.00001073532,0.00001634517,0.0002795822,0.0002980578,0.149114,0.008407407,0.8388795,0.0009969414,0.00003246947],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8998703,0.0001937281,0.08851779,0.0002484697,0.00005044205,0.00003350929,0.00004991046,0.0001481978,0.01088767],"genre_scores_gemma":[0.9941637,0.00005391469,0.003939921,0.00003751091,0.00003966909,0.00001577023,0.00002861547,0.00002265847,0.001698163],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002565782,"threshold_uncertainty_score":0.008583367,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05284953819706693,"score_gpt":0.2976874575248398,"score_spread":0.2448379193277729,"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."}}