{"id":"W2088741729","doi":"10.4153/cmb-2003-010-2","title":"Crossed Products by Semigroups of Endomorphisms and Groups of Partial Automorphisms","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Strong","keywords":"Crossed product; Mathematics; Endomorphism; Automorphism; Semigroup; Pure mathematics; Injective function; Invariant (physics); Algebra over a field","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001665949,0.0003523822,0.000401341,0.00128777,0.0009958901,0.002335264,0.000481686,0.0004471287,0.002735753],"category_scores_gemma":[0.001856058,0.0003187791,0.0007155662,0.0004538186,0.003328242,0.002484883,0.002114601,0.0006804873,0.0003054214],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001038115,"about_ca_system_score_gemma":0.0006338095,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007630218,"about_ca_topic_score_gemma":0.000389406,"domain_scores_codex":[0.99836,0.0003907942,0.0001089194,0.0002856057,0.0006079505,0.0002467997],"domain_scores_gemma":[0.9981917,0.0005120929,0.0003692434,0.0002084314,0.0002878197,0.0004306977],"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":[0.00005365215,0.00002249991,0.0007322701,0.00002064013,0.00001677624,0.0003560887,0.000716712,0.001923102,0.004895628,0.987686,0.0002156847,0.003360977],"study_design_scores_gemma":[0.00005218021,0.0001746778,0.001153085,0.00001931263,0.00002737193,0.0007006729,0.0004463987,0.0190485,0.007155132,0.9596405,0.0115491,0.00003309928],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8222243,0.0006645432,0.1339962,0.0005037607,0.0001573823,0.00008956186,0.0001363174,0.0003101207,0.0419178],"genre_scores_gemma":[0.9840013,0.0001404785,0.009689932,0.00003925483,0.0000816963,0.00004893582,0.00007226938,0.000025865,0.005900351],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002735753,"threshold_uncertainty_score":0.009152055,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02448029355979796,"score_gpt":0.2730441022155312,"score_spread":0.2485638086557332,"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."}}