Fell bundles and imprimitivity theorems: Towards a universal generalized fixed point algebra

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We apply the One-Sided Action Theorem from the first paper in this series to prove that Rieffel's Morita equivalence between the reduced crossed product by a proper saturated action and the generalized fixed-point algebra is a quotient of a Morita equivalence between the full crossed product and a "universal" fixed-point algebra. We give several applications to Fell bundles over groups, reduced crossed products as fixed-point algebras, and C*-bundles.

Original languageEnglish (US)
Pages (from-to)1691-1716
Number of pages26
JournalIndiana University Mathematics Journal
Volume62
Issue number6
DOIs
StatePublished - 2013

Fingerprint

Crossed Product
Morita Equivalence
Bundle
Fixed point
Algebra
Theorem
Quotient
Series

Keywords

  • Fell bundle
  • Groupoid
  • Imprimitivity theorem

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Fell bundles and imprimitivity theorems : Towards a universal generalized fixed point algebra. / Kaliszewski, Steven; Muhly, Paul S.; Quigg, John; Williams, Dana P.

In: Indiana University Mathematics Journal, Vol. 62, No. 6, 2013, p. 1691-1716.

Research output: Contribution to journalArticle

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