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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On group $ C\sp{\ast} $-algebras of bounded representation dimension


Author: Iain Raeburn
Journal: Trans. Amer. Math. Soc. 272 (1982), 629-644
MSC: Primary 22D25; Secondary 46L05
MathSciNet review: 662057
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Abstract: We consider the structure of group $ C^{\ast}$-algebras whose irreducible representations have bounded dimension. We give some general results, including a description of the topology on the spectrum, and then calculate explicitly the $ C^{\ast}$-algebras of two specific groups, one of them a nonsymmorphic space group.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1982-0662057-6
PII: S 0002-9947(1982)0662057-6
Article copyright: © Copyright 1982 American Mathematical Society