Mansfield's imprimitivity theorem for arbitrary closed subgroups

Astrid an Huef, Iain Raeburn
2003 Proceedings of the American Mathematical Society  
Let δ be a nondegenerate coaction of G on a C * -algebra B, and let H be a closed subgroup of G. The dual actionδ : 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.
doi:10.1090/s0002-9939-03-07189-2 fatcat:bcbokmiuofgcjick2hwe45vyga