{"id":"W4411349656","doi":"10.4171/dm/1007","title":"Crossed products and $\\mathrm{C}^{*}$-covers of semi-Dirichlet operator algebras","year":2025,"lang":"en","type":"article","venue":"Documenta Mathematica","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"MacEwan University; Mount Royal University","funders":"Natural Sciences and Engineering Research Council of Canada; MacEwan University; National Science Foundation","keywords":"Mathematics; Operator (biology); Dirichlet distribution; Pure mathematics; Algebra over a field; Mathematical analysis; Chemistry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0008202842,0.0005155403,0.0004667797,0.001277546,0.001528071,0.002071889,0.0006255431,0.0005505998,0.005733459],"category_scores_gemma":[0.001613088,0.0003513776,0.0008547193,0.0005018624,0.002663232,0.004010122,0.002369367,0.001340073,0.0005266598],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009732869,"about_ca_system_score_gemma":0.0004379938,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008873834,"about_ca_topic_score_gemma":0.0005251935,"domain_scores_codex":[0.9989164,0.0002212393,0.00004384532,0.0002189947,0.0003919379,0.0002076404],"domain_scores_gemma":[0.998765,0.0002982389,0.000187517,0.0001123231,0.0002134554,0.0004235003],"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":[0.00002275105,0.00001458547,0.0002407342,0.00001610162,0.000009704643,0.0001623978,0.0002372541,0.0007510558,0.002357694,0.9938143,0.0001761681,0.002197267],"study_design_scores_gemma":[0.00001893773,0.00006669246,0.0009246638,0.00001333068,0.00001330537,0.0006657947,0.000289229,0.01320609,0.004180897,0.9754767,0.005116123,0.00002824424],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7949532,0.0007596096,0.1459465,0.0006952024,0.0001675535,0.00004904977,0.0001643437,0.0001920448,0.05707265],"genre_scores_gemma":[0.9736018,0.0002307575,0.01391341,0.00009889864,0.0001508069,0.00004396111,0.0001517665,0.00006715624,0.01174145],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005733459,"threshold_uncertainty_score":0.01918036,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01988783531434674,"score_gpt":0.3166742492825673,"score_spread":0.2967864139682205,"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."}}