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arxiv: 0903.5465 · v1 · submitted 2009-03-31 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords localmodificationsderivationsinducedquasirepresentationsstatesalgebra
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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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