{"id":"W2913176636","doi":"10.1093/imrn/rnaa221","title":"A Non-commutative Fejér Theorem for Crossed Products, the Approximation Property, and Applications","year":2020,"lang":"en","type":"preprint","venue":"International Mathematics Research Notices","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Locally compact space; Commutative property; Pure mathematics; Von Neumann architecture; Approximation property; Fubini's theorem; Locally compact group; Group (periodic table); Property (philosophy); Product (mathematics); Banach space; Dynamical systems theory; Space (punctuation); Discrete mathematics; Computer science; Quantum mechanics; Geometry; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.004503256,0.0004622153,0.0005998354,0.0003480311,0.000760893,0.001328221,0.002581738,0.0002638262,0.00005198134],"category_scores_gemma":[0.01056739,0.0002780264,0.0001522533,0.0004475786,0.001029334,0.0003237941,0.0029385,0.001922381,0.00006546808],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003176013,"about_ca_system_score_gemma":0.0005828048,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002364584,"about_ca_topic_score_gemma":0.00002950171,"domain_scores_codex":[0.9949102,0.0003241594,0.0009012902,0.001010749,0.002210287,0.0006433409],"domain_scores_gemma":[0.987902,0.006778825,0.0005143497,0.001178227,0.00344161,0.0001849798],"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":[0.0002676357,0.001078962,0.00004227911,0.01053694,0.0009129702,0.000009069355,0.01671538,0.0002955034,0.00261343,0.9526514,0.006435009,0.0084414],"study_design_scores_gemma":[0.0005480219,0.0001132777,0.00002217923,0.0005007099,0.00005954038,0.000008254932,0.002883894,0.08905034,0.003902631,0.8936126,0.008946343,0.0003521932],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.02969662,0.001029897,0.7869828,0.09966063,0.0009457912,0.05252147,0.001653204,0.0006341967,0.02687534],"genre_scores_gemma":[0.4390371,0.0003724795,0.5245387,0.0002053042,0.002331076,0.02744712,0.000442066,0.0004044406,0.005221761],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4093404,"threshold_uncertainty_score":0.9999672,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2332239336161978,"score_gpt":0.4804354857166426,"score_spread":0.2472115521004448,"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."}}