Coactions and Fell bundles

Steven Kaliszewski, Paul S. Muhly, John Quigg, Dana P. Williams

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We show that for any Fell bundle A over a locally compact group G, there is a natural coaction δ of G on the Fell-bundle C&z.ast;-algebra C&z.ast;(G,A) such that the full crossed product (C*(G,A)×δG)×δ̂G by the dual action δ̂ of G is canonically isomorphic to C*(G,A) K(L2(G)). Hence the coaction δ is maximal.

Original languageEnglish (US)
Pages (from-to)315-359
Number of pages45
JournalNew York Journal of Mathematics
StatePublished - Nov 16 2010


  • Fell bundle
  • Full crossed product
  • Maximal coaction

ASJC Scopus subject areas

  • General Mathematics


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