{"id":"W4405651837","doi":"10.1017/s1474748024000318","title":"RANKS OF SOFT OPERATORS IN NOWHERE SCATTERED $\\mathrm {C}^*$-ALGEBRAS","year":2024,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Deutsche Forschungsgemeinschaft; Westfälische Wilhelms-Universität Münster; Knut och Alice Wallenbergs Stiftelse; Akademie Věd České Republiky; Division of Mathematical Sciences; Generalitat de Catalunya","keywords":"Mathematics; Pseudodifferential operators; Pure mathematics; Algebra over a field","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":[0.001127202,0.0003736175,0.0005429364,0.002033233,0.001316525,0.002593925,0.0005580428,0.000464288,0.00553909],"category_scores_gemma":[0.003116609,0.0002832164,0.0005172811,0.0004608767,0.002831244,0.002709881,0.00181824,0.0008741649,0.0004345017],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001107447,"about_ca_system_score_gemma":0.0004169724,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000700084,"about_ca_topic_score_gemma":0.0007173984,"domain_scores_codex":[0.9989612,0.0001802083,0.00007182756,0.0002137253,0.000344195,0.0002289112],"domain_scores_gemma":[0.9978173,0.0007354488,0.000352394,0.0001765719,0.0002480954,0.0006701478],"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":[0.0001314217,0.00003883737,0.001656625,0.00004183783,0.0000169287,0.0001785124,0.0007477045,0.001531826,0.01062808,0.9789403,0.0003468933,0.005741037],"study_design_scores_gemma":[0.00003982177,0.0001650659,0.005402031,0.00003543142,0.00003469231,0.000505586,0.0007973849,0.02288268,0.01554112,0.9511603,0.00336328,0.00007255856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9595114,0.0001936437,0.02634127,0.0001822703,0.00004178925,0.00001512722,0.00005222197,0.0001154434,0.01354687],"genre_scores_gemma":[0.9934281,0.00005663934,0.003134744,0.00004511855,0.00005330541,0.00001582089,0.00004690312,0.00002641798,0.003193016],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00553909,"threshold_uncertainty_score":0.01853007,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03538349389620825,"score_gpt":0.3198265918119238,"score_spread":0.2844430979157155,"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."}}