On dense ideals of C*-algebras and generalizations of the Gelfand-Naimark Theorem
Jorma Arhippainen ; Jukka Kauppi
Studia Mathematica, Tome 215 (2013), p. 71-98 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:285614 
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Jorma Arhippainen; Jukka Kauppi. On dense ideals of C*-algebras and generalizations of the Gelfand-Naimark Theorem. Studia Mathematica, Tome 215 (2013) pp. 71-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm215-1-5/