Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem

Abstract

We study induced representations of Hilbert modules over locally C*-algebras and their non-degeneracy. We show that if $V$ and $W$ are Morita equivalent Hilbert modules over locally C*-algebras $A$ and $B$, respectively, then there exists a bijective correspondence between equivalence classes of non-degenerate representations of $V$ and $W$.

14 pages, accepted

References in corpus (1)

• Induced representations of Hilbert $C^{\ast }$-modules

Cited by in corpus (1)

• Completely positive maps on Hilbert modules over pro-C*-algebras