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On α-Cogenerated Commutative Unital C*-Algebras
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-05
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
Gelfand-Naimark's theorem states that every commutative C*-algebra is isomorphic to a complex valued algebra of continuous functions over a suitable compact space.
We observe that for a completely regular space X, βX is dense-α-separable if and only if C(X) is α-cogenerated if and only if every family of maximal ideals of C(X) with zero intersection has a subfamily with cardinal number less than α and zero intersection.
This gives a simple characterization of α-cogenerated commutative unital C*-algebras via their maximal ideals.
American Psychological Association (APA)
Momtahan, Ehsan. 2013. On α-Cogenerated Commutative Unital C*-Algebras. Algebra،Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-472751
Modern Language Association (MLA)
Momtahan, Ehsan. On α-Cogenerated Commutative Unital C*-Algebras. Algebra No. 2013 (2013), pp.1-3.
https://search.emarefa.net/detail/BIM-472751
American Medical Association (AMA)
Momtahan, Ehsan. On α-Cogenerated Commutative Unital C*-Algebras. Algebra. 2013. Vol. 2013, no. 2013, pp.1-3.
https://search.emarefa.net/detail/BIM-472751
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472751