LEADER 03860nam 2200613 450 001 9910788665103321 005 20220818060206.0 010 $a0-8218-7925-1 035 $a(CKB)3240000000069861 035 $a(EBL)3113294 035 $a(SSID)ssj0000712452 035 $a(PQKBManifestationID)11406698 035 $a(PQKBTitleCode)TC0000712452 035 $a(PQKBWorkID)10644542 035 $a(PQKB)11025896 035 $a(MiAaPQ)EBC3113294 035 $a(WaSeSS)Ind00039649 035 $a(RPAM)13313197 035 $a(PPN)197106633 035 $a(EXLCZ)993240000000069861 100 $a20030814h20032003 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAdvances in quantum dynamics $eproceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Advances in Quantum Dynamics, June 16-20, 2002, Mount Holyoke College, South Hadley, Massachusetts /$fGeoffrey L. Price, editor-in-chief ; B. Mitchell Baker, Palle E.T. Jorgensen, Paul S. Muhly, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2003] 210 4$dİ2003 215 $a1 online resource (338 p.) 225 1 $aContemporary mathematics,$v335$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-3215-8 320 $aIncludes bibliographical references. 327 $aContents -- Preface -- Four lectures on noncommutative dynamics -- 1. Dynamical origins: Histories and interactions -- 2. Generators of dynamics and dilation theory -- 3. The role of product systems -- 4. Spectrum of an Eo-semigroup -- References -- Construction of E0-semigroups of B(h) from CP-flows -- Atomic dilations -- Strong solutions to the Dirichlet problem for differential forms: A quantum dynamical semigroup approach -- Modular invariants and their fusion rules -- A decomposition of E0-semigroups -- A duality between extension and dilation -- On the structure of spectral algebras and their generalizations -- Outer actions of a countable discrete amenable group on an AFD factor -- A construction of C* -algebras from C* -correspondences -- Classification of operator algebraic conformal field theories -- Rohlin property for flows -- Survey on a quantum stochastic extension of Stone's theorem -- Quantized convolution semigroups -- A model for quantum Markov semigroups -- A predual characterization of semi-finite von Neumann algebras -- Pure states on C* -algebras -- Commutants of von Neumann modules, representations of Ba(E) and other topics related to product systems of Hilbert modules -- Non-commutative Brownian motions -- Non-isomorphic product systems -- Introduction -- 1. Basic notions -- 2. Some invariants -- 3. Continuous products of measure classes -- 4. Continuous products of probability spaces -- 5. Random sets, and type I I0 -- 6. Constructing random sets -- 7. Time reversal -- 8. FHS space: Logarithm of a Hilbert space -- 9. Continuous sums and off-white noises -- 10. Type III -- 11. The invariant via the logarithm -- 12. Ensuring asymptotic orthogonality -- 13. Calculating the invariant -- References -- Index. 410 0$aContemporary mathematics,$v. 335.$x0271-4132 606 $aQuantum theory$vCongresses 606 $aSemigroups$vCongresses 606 $aVon Neumann algebras$vCongresses 615 0$aQuantum theory 615 0$aSemigroups 615 0$aVon Neumann algebras 676 $a530.12 702 $aPrice$b Geoffrey L.$f1952- 702 $aBaker$b B. Mitchell 702 $aJorgensen$b Palle E. T. 702 $aMuhly$b Paul S. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788665103321 996 $aAdvances in quantum dynamics$9668576 997 $aUNINA