# Mansfield's imprimitivity theorem for arbitrary closed subgroups

@inproceedings{Huef2002MansfieldsIT, title={Mansfield's imprimitivity theorem for arbitrary closed subgroups}, author={Astrid an Huef and Iain Raeburn}, year={2002} }

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.

## 13 Citations

### Induction in stages for C*-crossed products by maximal coactions

- Mathematics
- 2006

Let δ be a maximal coaction of a locally compact group G on a C-algebra B, and let N and H be closed normal subgroups of G with N ⊆ H . We show that the process IndG/H which uses Mansfield’s bimodule…

### Weakly proper group actions, Mansfield's imprimitivity and twisted Landstad duality

- Mathematics
- 2013

ALCIDES BUSS AND SIEGFRIED ECHTERHOFFAbstract. Using the theory of weakly proper actions of locally compactgroups recently developed by the authors, we give a uniﬁed proof of both re-duced and…

### Fell bundles and imprimitivity theorems

- Mathematics
- 2012

Our goal in this paper and two sequels is to apply the Yamagami-Muhly- Williams equivalence theorem for Fell bundles over groupoids to recover and extend all known imprimitivity theorems involving…

### FELL BUNDLES AND IMPRIMITIVITY THEOREMS: MANSFIELD’S AND FELL’S THEOREMS

- MathematicsJournal of the Australian Mathematical Society
- 2013

Abstract In the third and latest paper in this series, we recover the imprimitivity theorems of Mansfield and Fell using our technique of Fell bundles over groupoids. Also, we apply the Rieffel…

### Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions

- Mathematics
- 2009

We consider two categories of C*-algebras; in the first, the isomorphisms are ordinary isomorphisms, and in the second, the isomorphisms are Morita equivalences. We show how these two categories, and…

### Proper actions which are not saturated

- Mathematics
- 2009

If a locally compact group G acts properly on a locally compact space X, then the induced action on C 0 (X) is proper in the sense of Rieffel, with generalised fixed-point algebra C 0 (G\X).…

### A Symmetric Imprimitivity Theorem for Commuting Proper Actions

- MathematicsCanadian Journal of Mathematics
- 2005

Abstract We prove a symmetric imprimitivity theorem for commuting proper actions of locally compact groups $H$ and $K$ on a ${{C}^{*}}$ -algebra.

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