{"id":"W2087932658","doi":"10.4153/cjm-2002-041-1","title":"The Operator Biprojectivity of the Fourier Algebra","year":2002,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":32,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Algebra over a field; Operator (biology); Fourier transform; Operator algebra; Compact operator; Pure mathematics; Shift operator; Finite-rank operator; Mathematical analysis; Banach space; Computer science; Extension (predicate logic)","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":[],"consensus_categories":[],"category_scores_codex":[0.00146088,0.0001685056,0.0003530496,0.000129739,0.0004721567,0.0001004917,0.001057993,0.00008746143,0.0002613628],"category_scores_gemma":[0.005181654,0.00008777004,0.0002187159,0.0004582836,0.0004007279,0.0001734693,0.0000569739,0.00054408,0.00001867207],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001889373,"about_ca_system_score_gemma":0.0006944248,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009388215,"about_ca_topic_score_gemma":0.006058408,"domain_scores_codex":[0.9979447,0.0001744506,0.0007164066,0.00009915449,0.0006292074,0.0004360486],"domain_scores_gemma":[0.9967397,0.001078363,0.0004868651,0.000746394,0.0005819623,0.0003666798],"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":[0.0000244821,0.0006631167,0.007079389,0.0008755706,0.000931497,0.0002604936,0.02202971,0.0001232032,0.001992542,0.8029422,0.1419944,0.02108337],"study_design_scores_gemma":[0.003078982,0.0007671866,0.00149773,0.001550238,0.0004568971,0.002271073,0.01213419,0.01049628,0.03094444,0.852037,0.0835414,0.001224618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.988315,0.001301865,0.001954565,0.003318938,0.0005909405,0.0005814176,0.00002765599,0.000009945449,0.003899643],"genre_scores_gemma":[0.9794534,0.00006339505,0.01834472,0.00009702628,0.0001821762,0.000007362988,7.580249e-8,0.00005984222,0.00179193],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05845298,"threshold_uncertainty_score":0.6203299,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06504452986308557,"score_gpt":0.2977634753114161,"score_spread":0.2327189454483305,"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."}}