Induction in stages for crossed products of C*-algebras by maximal coactions

Astrid an Huef, Steven Kaliszewski, Iain Raeburn, Dana P. Williams

Research output: Contribution to journalArticle

Abstract

Let δ be a maximal coaction of a locally compact group G on a C*-algebra B, and let N and H be closed normal subgroups of G with N ⊆ H. We show that the process IndG / HG which uses Mansfield's bimodule to induce representations of B ⋊δ G from those of B ⋊δ | (G / H) is equivalent to the two-stage induction process IndG / NG ○ IndG / HG / N. The proof involves a calculus of symmetric imprimitivity bimodules which relates the bimodule tensor product to the fibred product of the underlying spaces.

Original languageEnglish (US)
Pages (from-to)356-398
Number of pages43
JournalJournal of Functional Analysis
Volume252
Issue number1
DOIs
StatePublished - Nov 1 2007

Keywords

  • C-algebras
  • Crossed products
  • Induced representations
  • Maximal coactions

ASJC Scopus subject areas

  • Analysis

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