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

• Autorzy: Jorma Arhippainen , Jukka Kauppi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46J10: Banach algebras of continuous functions, function algebras
• 46J30: Subalgebras
• 46J25: Representations of commutative topological algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 215
• Numer: 1
• Strony: 71-98

Daty

wydano

2013

Twórcy

autor

Jorma Arhippainen

• Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, SF 90014 Oulun yliopisto, Finland

autor

Jukka Kauppi

• Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, SF 90014 Oulun yliopisto, Finland

Identyfikatory

DOI

10.4064/sm215-1-5