Crossed products by Hilbert pro-C*-bimodules

Maria Joiţa, and Ioannis Zarakas. "Crossed products by Hilbert pro-C*-bimodules." Studia Mathematica 215.2 (2013): 139-156. <http://eudml.org/doc/285707>.

@article{MariaJoiţa2013,
abstract = {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.},
author = {Maria Joiţa, Ioannis Zarakas},
journal = {Studia Mathematica},
keywords = {pro--algebra; covariant representation; Hilbert pro--bimodule; crossed product; seminorm; Morita equivalence},
language = {eng},
number = {2},
pages = {139-156},
title = {Crossed products by Hilbert pro-C*-bimodules},
url = {http://eudml.org/doc/285707},
volume = {215},
year = {2013},
}

TY - JOUR
AU - Maria Joiţa
AU - Ioannis Zarakas
TI - Crossed products by Hilbert pro-C*-bimodules
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 2
SP - 139
EP - 156
AB - 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.
LA - eng
KW - pro--algebra; covariant representation; Hilbert pro--bimodule; crossed product; seminorm; Morita equivalence
UR - http://eudml.org/doc/285707
ER -