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

Abstract

In this paper, we define the notion of induced representations of a Hilbert $C^{\ast }$-module and we show that Morita equivalence of two Hilbert modules (in the sense of Moslehian and Joita), implies the equivalence of categories of non-degenerate representations of two Hilbert modules.

arXiv comment7 pages

Cited by in corpus (1)

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