Mansfield's imprimitivity theorem for arbitrary closed subgroups

2002/05/07 by Astrid an Huef, Huef, Astrid an, Iain Raeburn +1
Mathematics · #46L05 #46L08 #46L55 #FOS: Mathematics #Operator Algebras (math.OA) #math.OA #msc:46L05 #msc:46L08 #msc:46L55

paper · pdf · doi:10.48550/arxiv.math/0205060

arxiv created 2002/05/07 · arxiv updated 2009/11/30

Abstract

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×_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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