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arxiv: 1207.2021 · v1 · pith:YQPQNLHNnew · submitted 2012-07-09 · 🧮 math-ph · math.MP· math.OA

Induced and reduced unbounded operator algebras

classification 🧮 math-ph math.MPmath.OA
keywords algebrasinducedpartialreducedalgebraboundedcasecommutant
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The induction and reduction precesses of an O*-vector space $\M$ obtained by means of a projection taken, respectively, in $\M$ itself or in its weak bounded commutant $\M'_\w$ are studied. In the case where $\M$ is a partial GW*-algebra, sufficient conditions are given for the induced and the reduced spaces to be partial GW*-algebras again.

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