This volume contains the proceedings of an AMS-IMS-SAIM Joint Summer Research Conference, devoted to recent progress in quantum dynamics. The first third of the book consists of two review articles by leading experts in the field. W. B. Arveson prepared a series of four lectures covering, mostly without proofs, basics of the theory of semigroups of endomorphisms of type I factors and its relation to causal dynamics, the dilation theory, and the classification of E0-semigroups. R. T. Powers describes in his four lectures various constructions of spatial E0-semigroups based on the so called CP-semigroups, i.e. on strongly continuous semigroups of completely positive maps of the algebra B(H) of all bounded operators on a separable Hilbert space H. The rest of the proceedings contains 18 papers devoted to various branches of quantum dynamics.

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