Induced and reduced unbounded operator algebras

Fabio Bagarello, Atsushi Inoue, Camillo Trapani

Published 2012-07-09Version 1

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.