Mansfield's imprimitivity theorem for full crossed products

Details Mansfield's imprimitivity theorem for full crossed products Mansfield's imprimitivity theorem for full crossed products

2004-01-04

arxiv.org/abs/math/0401018v1

Mathematics

Operator Algebras

22 pages

Scientific paper

For any maximal coaction (A, G, delta) and any closed normal subgroup N of G, there exists an imprimitivity bimodule Y between the full crossed product A x G x N and A x G/N, together with a compatible coaction delta_Y of G. The assignment (A, delta) -> (Y, delta_Y) implements a natural equivalence between the crossed-product functors "x G x N" and "x G/N", in the category whose objects are maximal coactions of G and whose morphisms are isomorphism classes of right-Hilbert bimodule coactions of G.

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