{"id":"W4401044434","doi":"10.1007/978-3-031-59850-0_4","title":"Positivity, Representations, Tensor Products, and Ideals in C*-Algebras","year":2024,"lang":"en","type":"book-chapter","venue":"Birkhäuser advanced texts. Basler Lehrbücher","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Tensor product; Pure mathematics; Tensor (intrinsic definition); Algebra over a field; Tensor product of algebras; Mathematics; Tensor product of Hilbert spaces; Tensor contraction","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","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0008780145,0.001258576,0.001461598,0.00104381,0.0001831619,0.0002599317,0.0006334646,0.0007755778,0.001040486],"category_scores_gemma":[0.001059495,0.001201973,0.0002534794,0.000452719,0.0004781562,0.000791576,0.000901929,0.002227655,0.0009322246],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005252838,"about_ca_system_score_gemma":0.0003135484,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000239446,"about_ca_topic_score_gemma":0.0002593239,"domain_scores_codex":[0.9938988,0.0001376591,0.001362546,0.002400592,0.00107975,0.001120621],"domain_scores_gemma":[0.9958552,0.000980126,0.0003547841,0.001942678,0.0005093529,0.0003579263],"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":[0.0002659992,0.0002964265,0.0005135984,0.003223334,0.0005380291,0.0009998959,0.001026167,0.00003868729,0.00338429,0.9499773,0.01628476,0.02345156],"study_design_scores_gemma":[0.00127043,0.000136947,0.0004394053,0.001374882,0.0001745199,0.0001013401,0.00009500903,0.0000410481,0.001571475,0.8153284,0.1779844,0.001482043],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.01460892,0.05938116,0.0007381068,0.01188666,0.00178444,0.01148646,0.0008535245,0.002265137,0.8969956],"genre_scores_gemma":[0.009616675,0.00320703,0.0231325,0.0004521855,0.0006412573,0.0004873318,0.0001086086,0.001039551,0.9613149],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1616997,"threshold_uncertainty_score":0.9998727,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05145144099187438,"score_gpt":0.3533137639104708,"score_spread":0.3018623229185964,"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."}}