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Inducing Primitive Ideals

Siegfried Echterhoff, Dana P. Williams

math.OAarXiv:math/0601051

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 (A) give primitive ideals (resp. irreducible representations) of the crossed product AαG. 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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