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

Khadijeh Karimi; Kamran Sharifi

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

Operator Algebras 2016-11-16 v1

Authors: Khadijeh Karimi , Kamran Sharifi

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 induced representations Morita equivalence imprimitivity theorem non-degenerate representations

Cite

@article{arxiv.1611.04707,
  title  = {Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem},
  author = {Khadijeh Karimi and Kamran Sharifi},
  journal= {arXiv preprint arXiv:1611.04707},
  year   = {2016}
}

Comments

14 pages, accepted

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

Abstract

Keywords

Cite

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