A Morita equivalence for Hilbert C*-modules

Maria Joiţa, and Mohammad Sal Moslehian. "A Morita equivalence for Hilbert C*-modules." Studia Mathematica 209.1 (2012): 11-19. <http://eudml.org/doc/285756>.

@article{MariaJoiţa2012,
abstract = {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.},
author = {Maria Joiţa, Mohammad Sal Moslehian},
journal = {Studia Mathematica},
keywords = {Hilbert -module; Morita equivalence; Green's theorem; continuous action; -algebra},
language = {eng},
number = {1},
pages = {11-19},
title = {A Morita equivalence for Hilbert C*-modules},
url = {http://eudml.org/doc/285756},
volume = {209},
year = {2012},
}

TY - JOUR
AU - Maria Joiţa
AU - Mohammad Sal Moslehian
TI - A Morita equivalence for Hilbert C*-modules
JO - Studia Mathematica
PY - 2012
VL - 209
IS - 1
SP - 11
EP - 19
AB - 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.
LA - eng
KW - Hilbert -module; Morita equivalence; Green's theorem; continuous action; -algebra
UR - http://eudml.org/doc/285756
ER -