We define the crossed product of a pro-C*-algebra A by a Hilbert A-A pro-C*-bimodule and we show that it can be realized as an inverse limit of crossed products of C*-algebras by Hilbert C*-bimodules. We also prove that under some conditions the crossed products of two Hilbert pro-C*-bimodules over strongly Morita equivalent pro-C*-algebras are strongly Morita equivalent.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm215-2-4,
author = {Maria Joi\c ta and Ioannis Zarakas},
title = {Crossed products by Hilbert pro-C*-bimodules},
journal = {Studia Mathematica},
volume = {215},
year = {2013},
pages = {139-156},
zbl = {1282.46049},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm215-2-4}
}
Maria Joiţa; Ioannis Zarakas. Crossed products by Hilbert pro-C*-bimodules. Studia Mathematica, Tome 215 (2013) pp. 139-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm215-2-4/