Mansfield's imprimitivity theorem for full crossed products

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For any maximal coaction (A,G,δ) and any closed normal subgroup N of G, there exists an imprimitivity bimodule Y G/N G(A) between the full crossed product A × δ G × δ̂| N and A × δ| G/N, together with Inf δ̂̂| - δ dec compatible coaction δ Y of G. The assignment (A, δ) → (Y G/N G(A),δ Y) implements a natural equivalence between the crossed-product functors " × G × N" and " × 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.

Original languageEnglish (US)
Pages (from-to)2021-2042
Number of pages22
JournalTransactions of the American Mathematical Society
Issue number5
StatePublished - May 2005


  • C*-algebra
  • Coaction
  • Duality
  • Locally compact group
  • Naturality
  • Right-Hilbert bimodule

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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