On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis

DOI10.1007/S13324-020-00457-1arXiv2101.01656MaRDI QIDQ6357636

Publication date: 5 January 2021

Abstract: We consider perturbations of dynamical semigroups on the algebra of all bounded operators in a Hilbert space generated by covariant completely positive measures on the semi-axis. The construction is based upon unbounded linear perturbations of generators of the preadjoint semigroups on the space of nuclear operators. As an application we construct a perturbation of the semigroup of non-unital *-endomorphisms on the algebra of canonical anticommutation relations resulting in the flow of shifts.

Mathematics Subject Classification ID

Groups and semigroups of linear operators, their generalizations and applications (47Dxx)

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