{"id":"W2950309038","doi":"10.48550/arxiv.math/0304435","title":"KMS states of quasi-free dynamics on Pimsner algebras","year":2003,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Bimodule; Endomorphism; Toeplitz matrix; Mathematics; Unitary state; Pure mathematics; Algebra over a field; Free product; Crossed product; Group (periodic table); Physics","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"],"consensus_categories":[],"category_scores_codex":[0.0007418985,0.0006387611,0.00102567,0.0002755049,0.0001128579,0.00005038108,0.001471521,0.0005584371,0.0004542552],"category_scores_gemma":[0.002232202,0.0005824626,0.0003053526,0.0003123669,0.0002895582,0.0001140953,0.001424634,0.001734551,0.0002629834],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004693709,"about_ca_system_score_gemma":0.0003088989,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006938024,"about_ca_topic_score_gemma":0.0001897052,"domain_scores_codex":[0.9961385,0.0002982717,0.0009262538,0.000919968,0.0009716961,0.0007453723],"domain_scores_gemma":[0.9948611,0.0008866771,0.0004760816,0.003090261,0.0004587921,0.0002270347],"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":[0.0005953623,0.005679823,0.3340277,0.007605868,0.002027625,0.000388164,0.003645301,0.002551723,0.001847498,0.6071187,0.02949649,0.005015661],"study_design_scores_gemma":[0.00192926,0.0007429758,0.009859255,0.001037588,0.0001917718,0.00001370294,0.0008303652,0.002768905,0.01459546,0.9651248,0.001241113,0.001664788],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9878421,0.0002199371,0.005159297,0.0005505553,0.0005360299,0.0009476169,0.0002810746,0.0001716024,0.004291774],"genre_scores_gemma":[0.9745584,0.0004058697,0.01840981,0.0002781726,0.0001981748,0.000191663,0.000206377,0.0003473597,0.005404225],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3580061,"threshold_uncertainty_score":0.9996627,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0806702441334753,"score_gpt":0.3612400307684557,"score_spread":0.2805697866349804,"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."}}