Coactions of Hopf C*-bimodules
Operator Algebras
2013-07-02 v2 Quantum Algebra
Abstract
Coactions of Hopf C*-bimodules simultaneously generalize coactions of Hopf C*-algebras and actions of groupoids. Following an approach of Baaj and Skandalis, we construct reduced crossed products and establish a duality for fine coactions. Examples of coactions arise from Fell bundles on groupoids and actions of a groupoid on bundles of C*-algebras. Continuous Fell bundles on an etale groupoid correspond to coactions of the reduced groupoid algebra, and actions of a groupoid on a continuous bundle of C*-algebras correspond to coactions of the function algebra.
Keywords
Cite
@article{arxiv.0911.0539,
title = {Coactions of Hopf C*-bimodules},
author = {Thomas Timmermann},
journal= {arXiv preprint arXiv:0911.0539},
year = {2013}
}
Comments
44 pages, to appear in the Journal of Operator theory