03860nam 2200613 450 991078866510332120220818060206.00-8218-7925-1(CKB)3240000000069861(EBL)3113294(SSID)ssj0000712452(PQKBManifestationID)11406698(PQKBTitleCode)TC0000712452(PQKBWorkID)10644542(PQKB)11025896(MiAaPQ)EBC3113294(WaSeSS)Ind00039649(RPAM)13313197(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,3350271-4132Description 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,. 335.0271-4132Quantum theoryCongressesSemigroupsCongressesVon Neumann algebrasCongressesQuantum theorySemigroupsVon Neumann algebras530.12Price Geoffrey L.1952-Baker B. MitchellJorgensen Palle E. T.Muhly Paul S.MiAaPQMiAaPQMiAaPQBOOK9910788665103321Advances in quantum dynamics668576UNINA