Mansfield's imprimitivity theorem for arbitrary closed subgroups

Authors:
Astrid an Huef and Iain Raeburn

Journal:
Proc. Amer. Math. Soc. **132** (2004), 1153-1162

MSC (2000):
Primary 46L05; Secondary 46L08, 46L55

Published electronically:
August 28, 2003

MathSciNet review:
2045432

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Abstract: Let be a nondegenerate coaction of on a -algebra , and let be a closed subgroup of . The dual action is proper and saturated in the sense of Rieffel, and the generalised fixed-point algebra is the crossed product of by the homogeneous space . The resulting Morita equivalence is a version of Mansfield's imprimitivity theorem which requires neither amenability nor normality of .

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Additional Information

**Astrid an Huef**

Affiliation:
School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia

Email:
astrid@maths.unsw.edu.au

**Iain Raeburn**

Affiliation:
School of Mathematical and Physical Sciences, University of Newcastle, NSW 2308, Australia

Email:
iain@frey.newcastle.edu.au

DOI:
https://doi.org/10.1090/S0002-9939-03-07189-2

Received by editor(s):
June 30, 2002

Received by editor(s) in revised form:
December 18, 2002

Published electronically:
August 28, 2003

Additional Notes:
This research was supported by grants from the Australian Research Council, the University of New South Wales and the University of Newcastle.

Communicated by:
David R. Larson

Article copyright:
© Copyright 2003
American Mathematical Society