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arXiv · 2101.01656

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

G. G. Amosov
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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.

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G. G. Amosov. 2021-01-05. On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis. https://doi.org/10.1007/s13324-020-00457-1

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