Original scientific paper

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

Khadijeh Karimi ; Department of Mathematics, Shahrood University of Technology, Shahrood, Iran
Kamran Sharifi ; Mathematisches Institut, Fachbereich Mathematik und Informatik der Universität at Münster, Münster, Germany

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.

Keywords

Hilbert modules; locally C*-algebras; module maps; Morita equivalence; induced representations

Hrčak ID:

157707

URI

https://hrcak.srce.hr/157707

Publication date:

16.5.2016.

Visits: 1.010 *