{"id":"W2151462533","doi":"10.1017/s1446788700036168","title":"A Class of Limit Algebras Associated with Directed Graphs","year":2007,"lang":"en","type":"article","venue":"Journal of the Australian Mathematical Society","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada; Banff International Research Station for Mathematical Innovation and Discovery","keywords":"Mathematics; Toeplitz matrix; Limit (mathematics); Class (philosophy); Simple (philosophy); Pure mathematics; Graph; Hilbert space; Directed graph; Sequence (biology); Simplicity; Discrete mathematics; Nest algebra; Space (punctuation); Combinatorics; Algebra over a field; Non-associative algebra; Algebra representation; Mathematical analysis","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":[0.0004469744,0.0001963997,0.0003150501,0.001152058,0.001187689,0.001394098,0.000544644,0.000543855,0.0026513],"category_scores_gemma":[0.001172663,0.0001852063,0.0004160653,0.0005223274,0.001322225,0.001788625,0.0007863715,0.0005297485,0.0002465096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007840291,"about_ca_system_score_gemma":0.0003951641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008305827,"about_ca_topic_score_gemma":0.0006209647,"domain_scores_codex":[0.9996543,0.00006345105,0.00001875484,0.00007950632,0.0001080888,0.00007595494],"domain_scores_gemma":[0.999275,0.0001706548,0.0001357089,0.0000783681,0.0001351195,0.000205229],"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":[0.00005385806,0.00006059012,0.001836676,0.00004757869,0.0000162922,0.0004819693,0.0004885238,0.002287711,0.01038544,0.9775661,0.0004834712,0.006291747],"study_design_scores_gemma":[0.00002980415,0.0000573123,0.001333088,0.00001436499,0.00001360936,0.0009321417,0.0002889115,0.03086787,0.00588294,0.9564417,0.004103127,0.00003515714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9157104,0.0003272758,0.06405702,0.0001983497,0.00004138912,0.00006119908,0.0001052231,0.000202623,0.01929655],"genre_scores_gemma":[0.9881806,0.00008894968,0.007513868,0.00005417054,0.00003279865,0.00004033803,0.00007831814,0.00001779537,0.003993159],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0026513,"threshold_uncertainty_score":0.008869469,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05450851761421836,"score_gpt":0.3412624144784258,"score_spread":0.2867538968642074,"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."}}