Representations and derivations of quasi *-algebras induced by {\em local modifications} of states

Details Representations and derivations of quasi *-algebras induced by {\em local modifications} of states Representations and derivations of quasi *-algebras induced by {\em local modifications} of states

2009-03-31

arxiv.org/abs/0903.5465v1

Physics

Mathematical Physics

Jour. Math. Anal. Appl., in press

Scientific paper

The relationship between the GNS representations associated to states on a
quasi *-algebra, which are {\em 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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