English

Mansfield's imprimitivity theorem for arbitrary closed subgroups

Operator Algebras 2007-05-23 v1

Abstract

Let δ\delta be a nondegenerate coaction of G on a C*-algebra B, and let H be a closed subgroup of G. The dual action of H on B×δGB\times_\delta 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.

Keywords

Cite

@article{arxiv.math/0205060,
  title  = {Mansfield's imprimitivity theorem for arbitrary closed subgroups},
  author = {Astrid an Huef and Iain Raeburn},
  journal= {arXiv preprint arXiv:math/0205060},
  year   = {2007}
}