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Representations and derivations of quasi ∗-algebras induced by local modifications of states |
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| Authors: | F. Bagarello A. Inoue |
| Affiliation: | a Dipartimento di Metodi e Modelli Matematici, Fac. Ingegneria, Università di Palermo, I-90128 Palermo, Italy b Department of Applied Mathematics, Fukuoka University, Fukuoka 814-0180, Japan c Dipartimento di Matematica ed Applicazioni, Università di Palermo, I-90123 Palermo, Italy |
| Abstract: | The relationship between the GNS representations associated to states on a quasi ∗-algebra, which are local modifications of each other (in a sense which we will discuss) is examined. The role of local modifications on the spatiality of the corresponding induced derivations describing the dynamics of a given quantum system with infinite degrees of freedom is discussed. |
| Keywords: | Algebras of unbounded operators Quantum dynamics Derivations |
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