Coactions and Fell bundles

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

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 - 2010

Fingerprint

Coaction
Bundle
Crossed Product
Locally Compact Group
C*-algebra
Isomorphic

Keywords

  • Fell bundle
  • Full crossed product
  • Maximal coaction

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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

Coactions and Fell bundles. / Kaliszewski, Steven; Muhly, Paul S.; Quigg, John; Williams, Dana P.

In: New York Journal of Mathematics, Vol. 16, 2010, p. 315-359.

Research output: Contribution to journalArticle

Kaliszewski, S, Muhly, PS, Quigg, J & Williams, DP 2010, 'Coactions and Fell bundles', New York Journal of Mathematics, vol. 16, pp. 315-359.
Kaliszewski, Steven ; Muhly, Paul S. ; Quigg, John ; Williams, Dana P. / Coactions and Fell bundles. In: New York Journal of Mathematics. 2010 ; Vol. 16. pp. 315-359.
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