Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem
Karimi, Khadijeh ; Sharifi, Kamran
Mathematical Communications, Tome 21 (2016) no. 1, p. 85-96 / Harvested from Mathematical Communications
Text on Mathematical Communications
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 $W$.
Publié le : 2016-03-09
Classification:  Hilbert modules; locally C*-algebras; module maps; Morita equivalence; induced representations.,  46L08; 46K10; 46L05 
@article{mc1411,
     author = {Karimi, Khadijeh and Sharifi, Kamran},
     title = {Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem},
     journal = {Mathematical Communications},
     volume = {21},
     number = {1},
     year = {2016},
     pages = { 85-96},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc1411}
}

Karimi, Khadijeh; Sharifi, Kamran. Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem. Mathematical Communications, Tome 21 (2016) no. 1, pp.  85-96. http://gdmltest.u-ga.fr/item/mc1411/