IMPRIMITIVITY FOR C-ASTERISK-COACTIONS OF NON-AMENABLE GROUPS

Citation
S. Kaliszewski et J. Quigg, IMPRIMITIVITY FOR C-ASTERISK-COACTIONS OF NON-AMENABLE GROUPS, Mathematical proceedings of the Cambridge Philosophical Society, 123, 1998, pp. 101-118
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
03050041
Volume
123
Year of publication
1998
Part
1
Pages
101 - 118
Database
ISI
SICI code
0305-0041(1998)123:<101:IFCONG>2.0.ZU;2-R
Abstract
We give a condition on a full coaction (A, G, delta) of a (possibly) n on-amenable group G and a closed normal subgroup N of G which ensures that Mansfield imprimitivity works; i.e. that A x (delta\)G/N is Morit a equivalent to Ax(delta)Gx(<(delta)over cap>,r)N. This condition obta ins if N is amenable or delta is normal. It is preserved under Morita equivalence, inflation of coactions, the stabilization trick of Echter hoff and Raeburn, and on passing to twisted coactions.