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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On perfect $ C\sp \ast$-algebras


Author: R. J. Archbold
Journal: Proc. Amer. Math. Soc. 97 (1986), 413-417
MSC: Primary 46L05
MathSciNet review: 840621
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Abstract: It is shown that injective $ {C^ * }$-algebras are perfect, as are certain maximal simple $ {C^ * }$-algebras. Some properties of the perfect $ {C^ * }$-algebra $ {A_c}$ arising from a UHF algebra $ A$ are obtained by considering a masa with the extension property.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1986-0840621-8
PII: S 0002-9939(1986)0840621-8
Keywords: Perfect $ {C^ * }$-algebra, injective, maximal simple, masa, UHF algebra
Article copyright: © Copyright 1986 American Mathematical Society