Abstract
We classify Bogolyubov endomorphisms of the CCR algebra over a general test function space. This classification requires a non-commutative extension of the usual hyperbolic functions. We consider semi-groups of such endomorphisms and characterize their generators under the assumption of norm continuity.
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(Submitted by S. A. Grigoryan)
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Accardi, L., Boukas, A., Lu, YG. et al. Bogolyubov Endomorphisms and Non-Commutative Hyperbolic Functions. Lobachevskii J Math 41, 577–591 (2020). https://doi.org/10.1134/S1995080220040022
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DOI: https://doi.org/10.1134/S1995080220040022