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Inducing Primitive Ideals

Siegfried Echterhoff·Dana P. Williams
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Abstract

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.

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Siegfried Echterhoff, Dana P. Williams. 2006-01-03. Inducing Primitive Ideals. https://arxiv.org/abs/math/0601051

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