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.
Bagarello, F., Inoue, A., Trapani, C. (2009). Representations and derivations of quasi *-algebras induced by local modifications of states. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 356(2), 615-623 [10.1016/j.jmaa.2009.03.034].
Representations and derivations of quasi *-algebras induced by local modifications of states
BAGARELLO, Fabio;TRAPANI, Camillo
2009-01-01
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.
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