Quasi *-algebras and generalized inductive limits of C*-algebras

Giorgia Bellomonte, and Camillo Trapani. "Quasi *-algebras and generalized inductive limits of C*-algebras." Studia Mathematica 202.2 (2011): 165-190. <http://eudml.org/doc/285570>.

@article{GiorgiaBellomonte2011,
abstract = {A generalized procedure for the construction of the inductive limit of a family of C*-algebras is proposed. The outcome is no more a C*-algebra but, under certain assumptions, a locally convex quasi *-algebra, named a C*-inductive quasi *-algebra. The properties of positive functionals and representations of C*-inductive quasi *-algebras are investigated, in close connection with the corresponding properties of positive functionals and representations of the C*-algebras that generate the structure. The typical example of the quasi *-algebra of operators acting on a rigged Hilbert space is analyzed in detail.},
author = {Giorgia Bellomonte, Camillo Trapani},
journal = {Studia Mathematica},
language = {eng},
number = {2},
pages = {165-190},
title = {Quasi *-algebras and generalized inductive limits of C*-algebras},
url = {http://eudml.org/doc/285570},
volume = {202},
year = {2011},
}

TY - JOUR
AU - Giorgia Bellomonte
AU - Camillo Trapani
TI - Quasi *-algebras and generalized inductive limits of C*-algebras
JO - Studia Mathematica
PY - 2011
VL - 202
IS - 2
SP - 165
EP - 190
AB - A generalized procedure for the construction of the inductive limit of a family of C*-algebras is proposed. The outcome is no more a C*-algebra but, under certain assumptions, a locally convex quasi *-algebra, named a C*-inductive quasi *-algebra. The properties of positive functionals and representations of C*-inductive quasi *-algebras are investigated, in close connection with the corresponding properties of positive functionals and representations of the C*-algebras that generate the structure. The typical example of the quasi *-algebra of operators acting on a rigged Hilbert space is analyzed in detail.
LA - eng
UR - http://eudml.org/doc/285570
ER -