Tensor products of Hilbert modules over locally $C^*$-algebras

Joiţa, Maria. "Tensor products of Hilbert modules over locally $C^*$-algebras." Czechoslovak Mathematical Journal 54.3 (2004): 727-737. <http://eudml.org/doc/30895>.

@article{Joiţa2004,
abstract = {In this paper the tensor products of Hilbert modules over locally $C^\{*\}$-algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert $C^\{*\}$-modules are also valid in the context of Hilbert modules over locally $C^\{*\}$-algebras.},
author = {Joiţa, Maria},
journal = {Czechoslovak Mathematical Journal},
keywords = {locally $C^\{*\}$-algebras; continuous $*$-morphism; inverse system of Hilbert $C^\{*\}$-modules; exterior tensor product of Hilbert modules; interior tensor product of Hilbert modules; locally -algebras; continuous -morphism; inverse system of Hilbert -modules},
language = {eng},
number = {3},
pages = {727-737},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Tensor products of Hilbert modules over locally $C^*$-algebras},
url = {http://eudml.org/doc/30895},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Joiţa, Maria
TI - Tensor products of Hilbert modules over locally $C^*$-algebras
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 3
SP - 727
EP - 737
AB - In this paper the tensor products of Hilbert modules over locally $C^{*}$-algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert $C^{*}$-modules are also valid in the context of Hilbert modules over locally $C^{*}$-algebras.
LA - eng
KW - locally $C^{*}$-algebras; continuous $*$-morphism; inverse system of Hilbert $C^{*}$-modules; exterior tensor product of Hilbert modules; interior tensor product of Hilbert modules; locally -algebras; continuous -morphism; inverse system of Hilbert -modules
UR - http://eudml.org/doc/30895
ER -

References

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10.1016/0022-247X(85)90122-2, J. Math. Anal. Appl. 106 (1985), 454–539. (1985) MR0782803 DOI10.1016/0022-247X(85)90122-2
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Citations in EuDML Documents

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Maria Joiţa, Stable outer conjugacy and strong Morita equivalence of group actions on pro-C *-algebras

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