2003/09/19 by Jody Trout, Trout, Jody
Mathematics · Physics and Astronomy · #47L90 #47N50 #81P15 #Advanced Operator Algebra Research #FOS: Mathematics #FOS: Physical sciences #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Random Matrices and Applications #Spectral Theory in Mathematical Physics #math-ph #math.KT #math.MP #math.OA #msc:47L90 #msc:47N50 #msc:81P15
paper · pdf · doi:10.48550/arxiv.math-ph/0309050
To appear in Proceedings of the International IPSI-2003 VIP Forum Conference in Sveti Stefan, Montenegro, October 4-11, 2003. 10 pages
arxiv created 2003/09/19 · openalex publication_date 2003/09/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We review the relationship between positive operator-valued measures (POVMs) in quantum measurement theory and asymptotic morphisms in the C*-algebra E-theory of Connes and Higson. The theory of asymptotic spectral measures, as introduced by Martinez and Trout (CMP 226), is integrally related to positive asymptotic morphisms on locally compact spaces via an asymptotic Riesz Representation Theorem. Examples and applications to quantum physics, including quantum noise models, semiclassical limits, pure spin one-half systems and quantum information processing will also be discussed.