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

2016/11/15 by Karimi, Khadijeh, Sharifi, Kamran
#46K10 #46L05 (Secondary) #46L08 (Primary) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1611.04707

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.

Related

• Induced representations of Hilbert C^*-modules
• Hilbert modules over locally C*-algebras
• On Hilbert modules over locally C*-algebras II
• Induced representations of locally C*-algebras
• Hilbert modules over C^*-categories