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

• URL: http://arxiv.org/abs/2101.01656v1
• Date: Tue, 5 Jan 2021 17:11:35 GMT
• Title: On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis
• Authors: G.G. Amosov
• Abstract summary: 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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