{"id":"W2951588144","doi":"10.48550/arxiv.0704.1554","title":"Properly infinite C(X)-algebras and K_1-injectivity","year":2007,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Unital; Injective function; Mathematics; Pure mathematics; Algebra over a field; Semi-infinite; Discrete mathematics; Mathematical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0008166909,0.0005135224,0.0006183859,0.0004703949,0.000249135,0.000112622,0.000710248,0.0005737457,0.0001340146],"category_scores_gemma":[0.0005405071,0.0005442165,0.0001762946,0.0006171354,0.0004050262,0.0003401343,0.00201122,0.001666146,0.00009785278],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003754133,"about_ca_system_score_gemma":0.0003013751,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001191054,"about_ca_topic_score_gemma":0.0002238727,"domain_scores_codex":[0.9972801,0.0002458477,0.0003049818,0.001273541,0.0002187247,0.0006767768],"domain_scores_gemma":[0.9972548,0.0005978277,0.0002311804,0.001214735,0.0003463057,0.0003550775],"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":[0.0007124395,0.0008219539,0.03466763,0.002098448,0.0007068239,0.00259803,0.001546447,0.006811337,0.0006022605,0.9431431,0.0009578135,0.005333685],"study_design_scores_gemma":[0.001751794,0.0002918805,0.004116698,0.0003892579,0.0002665533,0.00003829987,0.0005762796,0.01874229,0.001416159,0.969477,0.001312999,0.001620779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9327682,0.0001188829,0.05848232,0.00004014692,0.0001882802,0.0008866444,0.00003663508,0.0002940406,0.007184893],"genre_scores_gemma":[0.9925792,0.000214196,0.003036071,0.00005010932,0.0001254058,0.000002707816,0.00001076852,0.00008721639,0.003894377],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05981099,"threshold_uncertainty_score":0.999701,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1701018960423415,"score_gpt":0.2682487138802053,"score_spread":0.09814681783786383,"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."}}