{"id":"W2068693306","doi":"10.1017/s1474748006000090","title":"SOME EXTREMELY AMENABLE GROUPS RELATED TO OPERATOR ALGEBRAS AND ERGODIC THEORY","year":2006,"lang":"en","type":"article","venue":"Journal of the Institute of Mathematics of Jussieu","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":84,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Automorphism; Ergodic theory; Pure mathematics; Injective function; Topological group; Operator algebra; Space (punctuation); Group (periodic table); Operator (biology); Topology (electrical circuits); Algebra over a field; Combinatorics; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003612056,0.0003090385,0.0002691548,0.001128057,0.001072638,0.001423306,0.0003360587,0.0003808413,0.002581501],"category_scores_gemma":[0.00108045,0.0001571456,0.0004457792,0.000610163,0.002475154,0.001559049,0.001505883,0.0009038751,0.00024783],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005634637,"about_ca_system_score_gemma":0.0003257568,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005383164,"about_ca_topic_score_gemma":0.0004851137,"domain_scores_codex":[0.9996688,0.000112572,0.00001277742,0.00003722398,0.00009497666,0.00007359518],"domain_scores_gemma":[0.999337,0.0002494615,0.0001226651,0.00005372925,0.00006193997,0.0001751181],"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":[0.00001514574,0.00001065242,0.0003873049,0.00001474512,0.000005208875,0.0001572163,0.0004984251,0.0006159185,0.001460665,0.994764,0.0002930456,0.00177765],"study_design_scores_gemma":[0.00001128279,0.0000292448,0.0008336057,0.000007668484,0.000007260416,0.0002539252,0.0002820833,0.003423176,0.0008250151,0.9907743,0.003543135,0.000009212542],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8553412,0.0009599091,0.06283491,0.001182122,0.0001022321,0.00004603222,0.0001271573,0.000170088,0.0792364],"genre_scores_gemma":[0.9869131,0.0002276602,0.004779561,0.00007489558,0.0001335071,0.00002754755,0.00006470444,0.0000169003,0.007762171],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002581501,"threshold_uncertainty_score":0.008635998,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02353955333006248,"score_gpt":0.2991786784360019,"score_spread":0.2756391251059395,"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."}}