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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A characterization of compact groups


Author: George A. Elliott
Journal: Proc. Amer. Math. Soc. 29 (1971), 621
MSC: Primary 22.20
DOI: https://doi.org/10.1090/S0002-9939-1971-0276408-6
MathSciNet review: 0276408
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Abstract: A locally compact group is compact if and only if it is of type I and has discrete spectrum (equivalently: its $ {C^\ast}$-algebra is dual).


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0276408-6
Keywords: Group $ {C^\ast}$-algebra, dual $ {C^\ast}$-algebra, compact group, Lie group
Article copyright: © Copyright 1971 American Mathematical Society