C*-simplicity of locally compact Powers groups

@article{Raum2015CsimplicityOL,
  title={C*-simplicity of locally compact Powers groups},
  author={Sven Raum},
  journal={arXiv: Operator Algebras},
  year={2015}
}
  • Sven Raum
  • Published 2015
  • Mathematics
  • arXiv: Operator Algebras
  • In this article we initiate research on locally compact C*-simple groups. We first show that every C*-simple group must be totally disconnected. Then we study C*-algebras and von Neumann algebras associated with certain groups acting on trees. After formulating a locally compact analogue of Powers' property, we prove that the reduced group C*-algebra of such groups is simple. This is the first simplicity result for C*-algebras of non-discrete groups and answers a question of de la Harpe. We… CONTINUE READING
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    References

    SHOWING 1-10 OF 39 REFERENCES
    On simplicity of reduced C*-algebras of groups
    • 75
    • PDF
    C*-simplicity and the unique trace property for discrete groups
    • 75
    • PDF
    Characterizations of C*-simplicity
    • 19
    Weight theory for C*-algebraic quantum groups
    • 30
    • PDF
    C*-simplicity and the amenable radical
    • 34
    • PDF
    THE DUAL SPACES OF C*-ALGEBRAS(1)
    • 64
    • PDF
    A New Look at C∗-Simplicity and the Unique Trace Property of a Group
    • 29
    • PDF
    A CLASS OF SUPERRIGID GROUP VON NEUMANN ALGEBRAS
    • 65
    • PDF