Implementation of automorphisms and derivations of the CAR-algebra

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Oct 1977 English Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 52, pages 255-266 (issn: 0010-3616, eissn: 1432-0916,

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Authors: Fredenhagen, Klaus;

doi: 10.1007/bf01609486

Implementation of automorphisms and derivations of the CAR-algebra

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Abstract

The implementability of automorphisms and derivations of the CAR-algebra in a pure quasifree state is discussed in detail. Especially the properties of the implementing operators are investigated, and an explicit construction is given. Extending a result from [2] for the CCR-algebra, we get a new necessary condition for a derivation to be implementable by a selfadjoint operator.

Related Organizations

Universität Hamburg
Germany

Keywords

46L25, Miscellaneous applications of functional analysis, General theory of \(C^*\)-algebras, 81.46, Linear operators in \({}^*\)-algebras

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