03957nam 2200649 450 991048100430332120170814182155.00-8218-7925-1(CKB)3240000000069861(EBL)3113294(SSID)ssj0000712452(PQKBManifestationID)11406698(PQKBTitleCode)TC0000712452(PQKBWorkID)10644542(PQKB)11025896(MiAaPQ)EBC3113294(WaSeSS)Ind00039649(PPN)197106633(EXLCZ)99324000000006986120030814h20032003 uy| 0engur|n|---|||||txtccrAdvances 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, editorsProvidence, Rhode Island :American Mathematical Society,[2003]©20031 online resource (338 p.)Contemporary mathematics ;335Description based upon print version of record.0-8218-3215-8 Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;v. 335.Quantum theoryCongressesSemigroupsCongressesVon Neumann algebrasCongressesElectronic books.Quantum theorySemigroupsVon Neumann algebras530.12Price Geoffrey L.1952-Baker B. MitchellJorgensen Palle E. T.Muhly Paul S.MiAaPQMiAaPQMiAaPQBOOK9910481004303321Advances in quantum dynamics668576UNINA