English

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

Operator Algebras 2012-11-30 v2

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.

Keywords

Cite

@article{arxiv.1206.6739,
  title  = {Fell bundles and imprimitivity theorems: towards a universal generalized fixed point algebra},
  author = {S. Kaliszewski and Paul S. Muhly and John Quigg and Dana P. Williams},
  journal= {arXiv preprint arXiv:1206.6739},
  year   = {2012}
}

Comments

minor revision

R2 v1 2026-06-21T21:27:33.055Z