{"id":"W2962729560","doi":"10.4153/cjm-2005-040-0","title":"Hyperbolic Group <i>C</i><sup>*</sup>-Algebras and Free-Product <i>C</i><sup>*</sup>-Algebras as Compact Quantum Metric Spaces","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":86,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Japan Society for the Promotion of Science; Canadian Mathematical Society; National Science Foundation","keywords":"Mathematics; Pointwise; Lipschitz continuity; Group (periodic table); Metric (unit); Metric space; Product (mathematics); Free product; Pure mathematics; Space (punctuation); Operator (biology); Topology (electrical circuits); Discrete mathematics; Combinatorics; Mathematical analysis; Quantum mechanics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002716399,0.0009997326,0.001907055,0.002042726,0.000705227,0.0007101709,0.002035793,0.0003757139,0.000848952],"category_scores_gemma":[0.008269041,0.0008827446,0.000422344,0.001849407,0.0007111396,0.001332612,0.0002000738,0.001782009,0.0003015757],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008258993,"about_ca_system_score_gemma":0.001872403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009199856,"about_ca_topic_score_gemma":0.002487052,"domain_scores_codex":[0.9930339,0.0004076871,0.002172417,0.0007469274,0.001730637,0.00190845],"domain_scores_gemma":[0.9914702,0.001874585,0.001020172,0.001747009,0.0009139155,0.002974122],"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":[0.0002727939,0.002573554,0.008554603,0.004364127,0.003101117,0.002979399,0.04749701,0.008386335,0.002080751,0.7193171,0.184705,0.01616826],"study_design_scores_gemma":[0.01090289,0.002955905,0.0009645089,0.002733221,0.001715166,0.01607828,0.02986599,0.04033265,0.006765837,0.7825579,0.0999954,0.005132237],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9851224,0.005874054,0.001658044,0.00366864,0.000199411,0.0009526725,0.0001233899,0.0001012741,0.002300125],"genre_scores_gemma":[0.941326,0.0004788461,0.05501122,0.000638846,0.001337418,0.00001523703,0.00001012701,0.0003359165,0.0008463854],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08470959,"threshold_uncertainty_score":0.9993623,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03463377425310257,"score_gpt":0.2958131288424686,"score_spread":0.261179354589366,"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."}}