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COHOMOLOGY OF OPERATOR ALGEBRAS AND QUANTUM DYNAMICAL SEMIGROUPS ERIK CHRISTENSEN AND DAVID E. EVANS 1. Introduction In the C *- algebraic setting of quantum theory, the physical states S ...
SummaryLocal mean-field Markov processes are constructed from local mean-field dynamical semigroups of Markov transition operators. This provides a general scheme for the convergence of empirical ...
We unify recent Noether-type theorems on the equivalence of symmetries with conservation laws for dynamical systems of Markov processes , of quantum operations, and of quantum stochastic maps ...
AbstractThis paper introduces Markov chains and processes over non-abelian free groups and semigroups . We prove a formula for the f-invariant of a Markov chain over a free group in terms ...
PROPERTIES OF T~SLATIONALLY INVARIANT QUANTUM- DYNAMICAL SEMIGROUPS A. D. Manita A large class of translationally invariant quantum- dynamical semigroups on a C * algebra is considered. Conditions ...
Dynamical semigroups constitute a quantum-mechanical generalization of Markov semigroups , a concept familiar from the theory of stochastic processes . Let ℋ be a Hilbert space andA a von Neumann ...
A class of dynamical semigroups arising in quantum optics models of masers and lasers is investigated. The semigroups are constructed, by means of noncommutative Dirichlet forms, on the full algebra ...
Borel σ- algebra , so that it generates a sufficiently regular Markov process on E . We present a general method how these conditions can be checked in many situations. Applications to solve stochastic ...
radius of the associated Markov operator on the $$\ell _2$$-space of the semigroup . Unlike in groups, this operator is not always defined; Proposition 5.5 below gives an exact algebraic description of when ...
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