{"id":"W2952554573","doi":"10.48550/arxiv.0707.2220","title":"A remark on invariants for C*-algebras of stable rank one","year":2007,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Invertible matrix; Rank (graph theory); Mathematics; Isomorphism (crystallography); Semigroup; Pure mathematics; Algebra over a field; Combinatorics; Chemistry","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":[0.001078202,0.0003978962,0.0007997107,0.000523322,0.0001395149,0.0000311955,0.000971962,0.0005058662,0.0002451548],"category_scores_gemma":[0.001076075,0.0004617305,0.0003071564,0.0005775974,0.0001877555,0.0001609737,0.0008448047,0.0008316036,0.00004783177],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004194145,"about_ca_system_score_gemma":0.0003665638,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005519905,"about_ca_topic_score_gemma":0.00009827589,"domain_scores_codex":[0.9975279,0.0001566527,0.0004442006,0.0009775972,0.0002581154,0.0006355508],"domain_scores_gemma":[0.9960114,0.001360825,0.0004133379,0.001443696,0.0005487283,0.0002220364],"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":[0.001983679,0.000957834,0.0006714802,0.001964319,0.0005452988,0.000166166,0.000247335,0.01101216,0.0008441675,0.9796235,0.001619207,0.0003648454],"study_design_scores_gemma":[0.002914076,0.0003800465,0.0002597879,0.0007743152,0.0002621365,0.000001966539,0.0002413052,0.01111932,0.01116943,0.9716263,0.000513121,0.0007381468],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6532351,0.00005382112,0.3349324,0.0000558074,0.0002607962,0.002093934,0.0002129163,0.0001437611,0.009011517],"genre_scores_gemma":[0.9803631,0.0001240762,0.01371507,0.00005094396,0.0001060717,0.000005668073,0.00003437064,0.00009818569,0.005502498],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3271281,"threshold_uncertainty_score":0.9997835,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2478558846387632,"score_gpt":0.285694188194868,"score_spread":0.03783830355610487,"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."}}