{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008179861,0.0002971066,0.0006069092,0.0001431128,0.0001519907,0.0001124086,0.0003313773,0.0001232004,0.0004663069],"category_scores_gemma":[0.0008301137,0.0002459678,0.000078584,0.0003733182,0.0002959245,0.0002524655,0.0002204686,0.0001664696,0.00005523653],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005614134,"about_ca_system_score_gemma":0.0001302289,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008575633,"about_ca_topic_score_gemma":0.000001695314,"domain_scores_codex":[0.9981585,0.0001084455,0.000674567,0.0004139403,0.0003048778,0.0003397008],"domain_scores_gemma":[0.9983835,0.0004672558,0.0001822069,0.0007346997,0.0001373312,0.00009507281],"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":[0.00005759827,0.0003853876,0.000483375,0.001589938,0.0002279471,0.00001212714,0.002372191,6.240089e-7,0.02468988,0.949282,0.02062352,0.0002754508],"study_design_scores_gemma":[0.002439846,0.0001524653,0.0001833252,0.0008968465,0.0003561945,0.00004175549,0.002684745,0.0001837719,0.2516906,0.7343128,0.006433741,0.0006238513],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9741823,0.0003898833,0.001281071,0.000977444,0.0001708892,0.0008967326,0.00003402185,0.000132677,0.02193496],"genre_scores_gemma":[0.980885,0.00005575651,0.01210642,0.0004466824,0.0000380552,0.0000750151,0.00000666381,0.00004441975,0.006342],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2270007,"threshold_uncertainty_score":0.9999993,"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."}}