{"id":"W1600216066","doi":"10.1023/a:1026106305210","title":"On Quantales and Spectra of C*-Algebras","year":2003,"lang":"en","type":"article","venue":"Applied Categorical Structures","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":34,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada; Grantová Agentura České Republiky","keywords":"Mathematics; Functor; Noncommutative geometry; Unital; Pure mathematics; Commutative property; Invariant (physics); Generalization; Equivalence (formal languages); Equivalence of categories; Spectrum (functional analysis); Discrete mathematics; Algebra over a field; Mathematical analysis","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":[0.0001300065,0.0001844146,0.0002999988,0.00007240397,0.00008439853,0.00002054731,0.0001483477,0.0001027552,0.0002692967],"category_scores_gemma":[0.0003196839,0.0001386833,0.00004032602,0.0002064832,0.0001778196,0.00002994852,0.00003889423,0.0002578237,0.00001121735],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004219233,"about_ca_system_score_gemma":0.00002967146,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003985956,"about_ca_topic_score_gemma":0.000004646334,"domain_scores_codex":[0.9987558,0.00004393218,0.000245517,0.0002985892,0.0003617721,0.0002944395],"domain_scores_gemma":[0.9989331,0.0005513957,0.00006704807,0.0002935611,0.00003121108,0.0001236609],"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":[0.00003773029,0.00003939376,0.00009289394,0.0000446529,0.00002183018,0.000005149348,0.00009890769,0.000007669204,0.00921491,0.9891537,0.0002666202,0.001016473],"study_design_scores_gemma":[0.0003640372,0.00008316657,0.0006726017,9.263038e-7,0.00001040595,0.00001378969,0.0001360025,0.000004355406,0.07253259,0.9258725,0.0001686918,0.0001408998],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.969258,0.0001473262,0.01048615,0.00004075962,0.0000558746,0.0003533415,0.000002921254,0.00006303273,0.01959267],"genre_scores_gemma":[0.9943869,0.0000190794,0.005422727,0.00004846883,0.00002819535,0.0000166169,0.000001773042,0.00003009801,0.00004620842],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06331769,"threshold_uncertainty_score":0.5655343,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03312976923896764,"score_gpt":0.3231081124856257,"score_spread":0.289978343246658,"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."}}