We introduce a notion of Morita equivalence for Hilbert C*-modules in terms of the Morita equivalence of the algebras of compact operators on Hilbert C*-modules. We investigate the properties of the new Morita equivalence. We apply our results to study continuous actions of locally compact groups on full Hilbert C*-modules. We also present an extension of Green's theorem in the context of Hilbert C*-modules.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm209-1-2,
author = {Maria Joi\c ta and Mohammad Sal Moslehian},
title = {A Morita equivalence for Hilbert C*-modules},
journal = {Studia Mathematica},
volume = {209},
year = {2012},
pages = {11-19},
zbl = {1272.46047},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm209-1-2}
}
Maria Joiţa; Mohammad Sal Moslehian. A Morita equivalence for Hilbert C*-modules. Studia Mathematica, Tome 209 (2012) pp. 11-19. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm209-1-2/