The Primitive Ideal Space of Groupoid C*-Algebras for Groupoids with Abelian Isotropy

Daniel W. van Wyk; Dana P. Williams

The Primitive Ideal Space of Groupoid C*-Algebras for Groupoids with Abelian Isotropy

Operator Algebras 2021-08-26 v2

Authors: Daniel W. van Wyk , Dana P. Williams

Abstract

We study the topology of the primitive ideal space of groupoid C*-algebras for groupoids with abelian isotropy. Our results include the known results for action groupoids with abelian stabilizers. Furthermore, we obtain complete results when the isotropy map is continuous except for jump discontinuities, and also when $G$ is a unit space fixing extension of a proper groupoid by an abelian group bundle. We hope that our methods will be a springboard to further results of this type.

Keywords

groupoid c*-algebras primitive ideal space abelian isotropy action groupoids unit space fixing extension abelian group bundle

Cite

@article{arxiv.2108.02277,
  title  = {The Primitive Ideal Space of Groupoid C*-Algebras for Groupoids with Abelian Isotropy},
  author = {Daniel W. van Wyk and Dana P. Williams},
  journal= {arXiv preprint arXiv:2108.02277},
  year   = {2021}
}

Comments

Corrected some embarrassing mis-spellings

The Primitive Ideal Space of Groupoid C*-Algebras for Groupoids with Abelian Isotropy

Abstract

Keywords

Cite

Comments

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