A class of quasi *-algebras which exhibits some analogy with C*-algebras is studied. The extension of some properties of C*-algebras which are relevant for physical applications (such as the GNS-representation) is discussed. Quasi *-algebras of linear operators in rigged Hilbert space are shown to be typical examples of the developed framework.
Bagarello, F., Trapani, C. (1994). States and representations of CQ∗ -algebras. ANNALES DE L'INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 60, 103-133.
States and representations of CQ∗ -algebras
BAGARELLO, Fabio;TRAPANI, Camillo
1994-01-01
Abstract
A class of quasi *-algebras which exhibits some analogy with C*-algebras is studied. The extension of some properties of C*-algebras which are relevant for physical applications (such as the GNS-representation) is discussed. Quasi *-algebras of linear operators in rigged Hilbert space are shown to be typical examples of the developed framework.
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