{"id":"W2141448503","doi":"10.1007/s00220-014-2037-6","title":"Operator Systems from Discrete Groups","year":2014,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"Engineering and Physical Sciences Research Council; Natural Sciences and Engineering Research Council of Canada; Queen's University; Queen's University Belfast; National Science Foundation","keywords":"Tensor product; Operator (biology); Mathematics; Group (periodic table); Tensor (intrinsic definition); Quasinormal operator; Tensor operator; Shift operator; Pure mathematics; Product (mathematics); Algebra over a field; Tensor product of algebras; Tensor product of Hilbert spaces; Semi-elliptic operator; Discrete mathematics; Compact operator; Tensor contraction; Finite-rank operator; Mathematical analysis; Computer science; Quantum mechanics; Physics; Differential operator; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007547882,0.0002286468,0.000495633,0.00005824995,0.0002070765,0.0001332118,0.001810631,0.0001074083,0.00007853811],"category_scores_gemma":[0.001707166,0.0002011375,0.00008451942,0.000338425,0.0003281692,0.0002843496,0.0008446759,0.0005932406,0.0006090008],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000132144,"about_ca_system_score_gemma":0.00003924873,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001670041,"about_ca_topic_score_gemma":0.0000156285,"domain_scores_codex":[0.9977477,0.0005531759,0.0006291791,0.0002968115,0.0004097089,0.0003633888],"domain_scores_gemma":[0.9920578,0.00380367,0.000111263,0.003756351,0.0001375924,0.0001333078],"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":[0.000004085843,0.0003370716,0.0001473654,0.00008796669,0.00002110063,5.963108e-7,0.0005912856,0.00006211884,0.0003400647,0.997055,0.0003752605,0.0009780729],"study_design_scores_gemma":[0.0003578819,0.00002334893,0.00004846912,0.0002070573,0.00001758694,0.000001270976,0.0003401553,0.1012764,0.000203685,0.8963711,0.0009231864,0.0002298668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1099388,0.0005651157,0.8430114,0.001016656,0.0001465487,0.001521894,0.0000682349,0.0003881755,0.0433432],"genre_scores_gemma":[0.8598182,0.0000606785,0.1393446,0.00005570551,0.0001254416,0.0003014341,0.00003488511,0.00006859151,0.000190483],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7498794,"threshold_uncertainty_score":0.8202148,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1048844329764564,"score_gpt":0.4039054141874482,"score_spread":0.2990209812109919,"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."}}