Measurable bundles of C*-algebras over ideals

Let (­;§; ¸) be a measurable space with a finite complete measure ¸ and L0 = L0(­) be an algebra of equivalence classes of complex measurable functions on ­: In the present paper we define C¤-algebras over ideals of L0: It is proved that any C¤-algebra over ideal can be represented as measurable...

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Bibliographic Details
Main Authors: Ganiev, Inomjon, Mukhamedov, Farrukh
Format: Article
Language:English
Published: Institute of Physics Publishing (UK) 2013
Subjects:
Online Access:http://irep.iium.edu.my/30036/
http://irep.iium.edu.my/30036/
http://irep.iium.edu.my/30036/
http://irep.iium.edu.my/30036/1/1742-6596_435_1_012004.pdf
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Summary:Let (­;§; ¸) be a measurable space with a finite complete measure ¸ and L0 = L0(­) be an algebra of equivalence classes of complex measurable functions on ­: In the present paper we define C¤-algebras over ideals of L0: It is proved that any C¤-algebra over ideal can be represented as measurable bundle of C¤-algebras.