Coactions and Fell bundles

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

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

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
Volume16
StatePublished - Nov 16 2010

Keywords

  • Fell bundle
  • Full crossed product
  • Maximal coaction

ASJC Scopus subject areas

  • Mathematics(all)

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    Kaliszewski, S., Muhly, P. S., Quigg, J., & Williams, D. P. (2010). Coactions and Fell bundles. New York Journal of Mathematics, 16, 315-359.