Primitive ideals of twisted group algebras

Britton, Otha L.

doi:10.1090/S0002-9947-1975-0374815-2

Primitive ideals of twisted group algebras
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by Otha L. Britton PDF

Trans. Amer. Math. Soc. 202 (1975), 221-241 Request permission

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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Darstellungen Verallgemeinerte ${L^1}$-Algebren

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