On dense ideals of C*-algebras and generalizations of the Gelfand-Naimark Theorem

Jorma Arhippainen, and Jukka Kauppi. "On dense ideals of C*-algebras and generalizations of the Gelfand-Naimark Theorem." Studia Mathematica 215.1 (2013): 71-98. <http://eudml.org/doc/285614>.

@article{JormaArhippainen2013,
abstract = {We develop the theory of Segal algebras of commutative C*-algebras, with an emphasis on the functional representation. Our main results extend the Gelfand-Naimark Theorem. As an application, we describe faithful principal ideals of C*-algebras. A key ingredient in our approach is the use of Nachbin algebras to generalize the Gelfand representation theory.},
author = {Jorma Arhippainen, Jukka Kauppi},
journal = {Studia Mathematica},
keywords = {Segal algebra; -Segal algebra; Gelfand representation; Nachbin algebra; order unit; weighted algebra},
language = {eng},
number = {1},
pages = {71-98},
title = {On dense ideals of C*-algebras and generalizations of the Gelfand-Naimark Theorem},
url = {http://eudml.org/doc/285614},
volume = {215},
year = {2013},
}

TY - JOUR
AU - Jorma Arhippainen
AU - Jukka Kauppi
TI - On dense ideals of C*-algebras and generalizations of the Gelfand-Naimark Theorem
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 1
SP - 71
EP - 98
AB - We develop the theory of Segal algebras of commutative C*-algebras, with an emphasis on the functional representation. Our main results extend the Gelfand-Naimark Theorem. As an application, we describe faithful principal ideals of C*-algebras. A key ingredient in our approach is the use of Nachbin algebras to generalize the Gelfand representation theory.
LA - eng
KW - Segal algebra; -Segal algebra; Gelfand representation; Nachbin algebra; order unit; weighted algebra
UR - http://eudml.org/doc/285614
ER -