{"id":"W2962691878","doi":"10.1017/s0013091508001193","title":"<i>C</i><sup>*</sup>-envelopes of tensor algebras for multivariable dynamics","year":2010,"lang":"en","type":"article","venue":"Proceedings of the Edinburgh Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Surjective function; Endomorphism; Envelope (radar); Tensor product; Mathematics; Tensor (intrinsic definition); Multivariable calculus; Tensor algebra; Algebra over a field; Simple (philosophy); Pure mathematics; Space (punctuation); Filtered algebra; Division algebra; Computer science","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":[0.0009060981,0.0003474852,0.0002634969,0.0008537035,0.0008477442,0.002124832,0.0004679088,0.0004527612,0.004338533],"category_scores_gemma":[0.001041251,0.0001709169,0.0005523009,0.0004272649,0.002230357,0.003357421,0.00140536,0.0008745277,0.000436481],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007016486,"about_ca_system_score_gemma":0.0004120266,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005676464,"about_ca_topic_score_gemma":0.0003113496,"domain_scores_codex":[0.9995031,0.0001107246,0.00003761686,0.00007486917,0.0001760067,0.00009759501],"domain_scores_gemma":[0.9992763,0.0001007269,0.0001441206,0.0001146795,0.0001752162,0.0001888561],"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":[0.00001810086,0.000009374835,0.0002051886,0.00001734386,0.000003962369,0.00009703649,0.0001821622,0.000702332,0.002101293,0.9938608,0.0002425724,0.002559788],"study_design_scores_gemma":[0.00000824438,0.00005550346,0.0006878803,0.00001622063,0.000006626516,0.0002676193,0.0002137122,0.01544981,0.002591152,0.9745884,0.006088694,0.0000260805],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6183138,0.0007936917,0.2932414,0.0009025432,0.000230494,0.0001020211,0.0002524468,0.0004081448,0.08575539],"genre_scores_gemma":[0.9779683,0.0001489104,0.01680772,0.00009829143,0.00008698925,0.00003496076,0.00007706467,0.00004222184,0.004735542],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004338533,"threshold_uncertainty_score":0.01451385,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02427927378589998,"score_gpt":0.308461779900389,"score_spread":0.284182506114489,"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."}}