{"id":"W2952079285","doi":"10.48550/arxiv.math/0610044","title":"KK-theoretic duality for proper twisted actions","year":2006,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Poincaré duality; Duality (order theory); Conjecture; Manifold (fluid mechanics); Group (periodic table); Riemannian manifold; Dirac (video compression format); Section (typography); Combinatorics; Pure mathematics; Inverse; Mathematical physics; Physics; Cohomology; Geometry; Quantum mechanics","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":[0.0004601455,0.0004019096,0.0005078711,0.0002344341,0.0002895018,0.00007781738,0.000751288,0.0004301414,0.000186727],"category_scores_gemma":[0.000494833,0.0004189525,0.0003549041,0.0004023559,0.0003287753,0.0001731388,0.0007965755,0.0007935839,0.00007712805],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005759175,"about_ca_system_score_gemma":0.0003235689,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007367005,"about_ca_topic_score_gemma":0.0001379604,"domain_scores_codex":[0.9977022,0.000232956,0.0003205658,0.001034076,0.0001524032,0.0005577605],"domain_scores_gemma":[0.9971898,0.0005455808,0.0002384618,0.001305243,0.0005404303,0.0001805047],"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":[0.0001922071,0.0004200373,0.0007155723,0.0009644093,0.0001987298,0.00008773202,0.0001346417,0.01377898,0.0001439517,0.9798865,0.003329741,0.0001475269],"study_design_scores_gemma":[0.001185974,0.00008744762,0.0002956158,0.0001517525,0.0003089648,0.000005281652,0.0001814694,0.02871741,0.00101118,0.9638423,0.003461342,0.0007512242],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5956119,0.00002870824,0.391407,0.0001743273,0.000344852,0.002325462,0.0002760325,0.0004084404,0.009423297],"genre_scores_gemma":[0.9739628,0.00002962614,0.006532006,0.00002774806,0.0001573228,0.00002303959,0.00009089925,0.0000934049,0.0190831],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3848749,"threshold_uncertainty_score":0.9998263,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.268694387976496,"score_gpt":0.2995173313781835,"score_spread":0.03082294340168756,"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."}}