Characterizations of cyclic *-representations with equal weak and strong commutants.

Autor: Stochel, Jan, Todorov, Todor. S.
Předmět:
Zdroj: Journal of Mathematical Physics; Dec92, Vol. 33 Issue 12, p4190, 6p
Abstrakt: A purely algebraic normality property for states on abstract *-algebras is singled out and used to characterize Abelian unbounded Gelfand–Naimark–Segal (GNS) representations with a coincident weak and strong commutant and to give equivalent conditions of this coincidence. Various properties of standard GNS representations generated by measure-defined states are examined. Normality of bounded states is discussed and connections to MASA are given. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index