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arXiv math/02050602002-05-07math.OA

Mansfield's imprimitivity theorem for arbitrary closed subgroups

Astrid an Huef, Iain Raeburn

英文摘要：

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 of H on $B\times_δG$ 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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