Advances in quantum dynamics : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Advances in Quantum Dynamics, June 16-20, 2002, Mount Holyoke College, South Hadley, Massachusetts / / Geoffrey L. Price, editor-in-chief ; B. Mitchell Baker, Palle E.T. Jorgensen, Paul S. Muhly, editors

• Record Nr.: UNINA9910481004303321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2003]; ©2003
• ISBN: 0-8218-7925-1
• Descrizione fisica: 1 online resource (338 p.)
• Collana: Contemporary mathematics ; ; 335
• Disciplina: 530.12
• Soggetti: Quantum theory; Semigroups; Von Neumann algebras; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Preface""; ""Four lectures on noncommutative dynamics""; ""1. Dynamical origins: Histories and interactions""; ""2. Generators of dynamics and dilation theory""; ""3. The role of product systems""; ""4. Spectrum of an Eo-semigroup""; ""References""; ""Construction of E0-semigroups of B(h) from CP-flows""; ""Atomic dilations""; ""Strong solutions to the Dirichlet problem for differential forms: A quantum dynamical semigroup approach""; ""Modular invariants and their fusion rules""; ""A decomposition of E0-semigroups""; ""A duality between extension and dilation""; ""On the structure of spectral algebras and their generalizations""""Outer actions of a countable discrete amenable group on an AFD factor""; ""A construction of C* -algebras from C* -correspondences""; ""Classification of operator algebraic conformal field theories""; ""Rohlin property for flows""; ""Survey on a quantum stochastic extension of Stone's theorem""; ""Quantized convolution semigroups""; ""A model for quantum Markov semigroups""; ""A predual characterization of semi-; finite von Neumann algebras""; ""Pure states on C* -algebras""; ""Commutants of von Neumann modules, representations of Ba(E) and other topics related to product systems of Hilbert modules""""Non-commutative Brownian motions""; ""Non-isomorphic product systems""; ""Introduction""; ""1. Basic notions""; ""2. Some invariants""; ""3. Continuous products of measure classes""; ""4. Continuous products of probability spaces""; ""5. Random sets, and type I I0""; ""6. Constructing random sets""; ""7. Time reversal""; ""8. FHS space: Logarithm of a Hilbert space""; ""9. Continuous sums and off-white noises""; ""10. Type III""; ""11. The invariant via the logarithm""""12. Ensuring asymptotic orthogonality""; ""13. Calculating the invariant""; ""References""; ""Index""