Inducing Primitive Ideals

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We study conditions on a $C^*$-dynamical system $(A,G,α)$ under which induction of primitive ideals (resp. irreducible representations) from stabilizers for the action of $G$ on the primitive ideal space $\Prim(A)$ give primitive ideals (resp. irreducible representations) of the crossed product $A\rtimes_αG$. The results build on earlier results of Sauvageot and others, and will correct a (possibly overly optimistic) statement of the first author.
17 Pages

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Operator Algebras, 46L55

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http://salesiana.dossiersoluciones.com/handle/123456789/107379

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601051
 http://arxiv.org/abs/math/0601051

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arXiv