Inducing Primitive Ideals

Siegfried Echterhoff; Dana P. Williams

Inducing Primitive Ideals

算子代数 2007-05-23 v1

作者: Siegfried Echterhoff , Dana P. Williams

摘要

We study conditions on a $C^*$ -dynamical system $(A,G,\alpha)$ 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 $A\rtimes_\alpha G$ . The results build on earlier results of Sauvageot and others, and will correct a (possibly overly optimistic) statement of the first author.

引用

@article{arxiv.math/0601051,
  title  = {Inducing Primitive Ideals},
  author = {Siegfried Echterhoff and Dana P. Williams},
  journal= {arXiv preprint arXiv:math/0601051},
  year   = {2007}
}

备注

17 Pages

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