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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Representations of twisted group algebras


Authors: Robert C. Busby and Harvey A. Smith
Journal: Trans. Amer. Math. Soc. 149 (1970), 503-537
MSC: Primary 46.80; Secondary 42.56
DOI: https://doi.org/10.1090/S0002-9947-1970-0264418-8
MathSciNet review: 0264418
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Abstract: We construct a general class of Banach algebras which include as special cases the group algebra of a locally compact group, the group algebra of a group extension (in terms of the subgroup and quotient group), and some other examples, special cases of which have been studied under the name of covariance algebras. We develop the general representation theory and generalize Mackey's theory of induced representations.


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DOI: https://doi.org/10.1090/S0002-9947-1970-0264418-8
Keywords: Twisted group algebra, covariance algebra, covariance representation, induced representation, group extension
Article copyright: © Copyright 1970 American Mathematical Society