Mansfield's imprimitivity theorem for arbitrary closed subgroups

  title={Mansfield's imprimitivity theorem for arbitrary closed subgroups},
  author={Astrid an Huef and Iain Raeburn},
Let δ be a nondegenerate coaction of G on a C*-algebra B, and let H be a closed subgroup of G. The dual action δ: H → Aut(B × δ G) is proper and saturated in the sense of Rieffel, and the generalised fixed-point algebra is the crossed product of B by the homogeneous space G/H. The resulting Morita equivalence is a version of Mansfield's imprimitivity theorem which requires neither amenability nor normality of H. 

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