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Transactions of the American Mathematical Society

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



Primitive ideals of twisted group algebras

Author: Otha L. Britton
Journal: Trans. Amer. Math. Soc. 202 (1975), 221-241
MSC: Primary 43A20
MathSciNet review: 0374815
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Abstract: E. Effros and F. Hahn have conjectured that if $ (G,Z)$ is a second countable locally compact transformation group, with $ G$ amenable, then every primitive ideal of the associated $ {C^\ast }$-algebra arises as the kernel of an irreducible representation induced from a stability subgroup. Results of Effros and Hahn concerning this conjecture are extended to include the twisted group algebra $ {L^1}(G,A;T,\alpha )$, where $ A$ is a separable type I $ {C^\ast }$-algebra.

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Keywords: Twisted group algebra, irreducible representation, induced representation, covariance algebra, group extension, transformation group, dual space
Article copyright: © Copyright 1975 American Mathematical Society