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1 results

  • THE GLIMM IDEAL SPACE OF A TWO-STEP NILPOTENT LOCALLY COMPACT GROUP

  • Eberhard Kaniuth, William Moran
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 44 / Issue 3 / October 2001
    Published online by Cambridge University Press:
    20 January 2009, pp. 505-526
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  • For a two-step nilpotent locally compact group $G$, we determine the Glimm ideal space of the group $C^*$-algebra $C^*(G)$ and its topology. This leads to necessary and sufficient conditions for $C^*(G)$ to be quasi-standard. Moreover, some results about the Glimm classes of points in the primitive ideal space $\mathrm{Prim}(C^*(G))$ are obtained.

    AMS 2000 Mathematics subject classification: Primary 22D25. Secondary 22D10