Duality of restriction and induction for C*-coactions

S. Kaliszbwski, John Quigg, Iain Raeburn

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

Consider a coaction δ of a locally compact group G on a C*-algebra A, and a closed normal subgroup N of G. We prove, following results of Echterhoff for abelian G, that Mansfield's imprimitivity between A x$| G/N and A × f G × δ r N implements equivalences between Mansfield induction of representations from A × δ| G/N to A x& G and restriction of representations from A× iG× frNtoA× (G, and between restriction of representations from A × δ G to A × δ| G/N and Green induction of representations from A × g G to A × f G × j r N. This allows us to deduce properties of Mansfield induction from the known theory of ordinary crossed products.

Original languageEnglish (US)
Pages (from-to)2085-2113
Number of pages29
JournalTransactions of the American Mathematical Society
Volume349
Issue number5
StatePublished - 1997

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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