English

Coactions on C*-algebras and universal properties

Operator Algebras 2023-08-17 v2

Abstract

It is well-known that the maximalization of a coaction of a locally compact group on a C*-algebra enjoys a universal property. We show how this important property can be deduced from a categorical framework by exploiting certain properties of the maximalization functor for coactions. We also provide a dual proof for the universal property of normalization of coactions.

Keywords

Cite

@article{arxiv.2212.04539,
  title  = {Coactions on C*-algebras and universal properties},
  author = {Erik Bédos and S. Kaliszewski and John Quigg and Jonathan Turk},
  journal= {arXiv preprint arXiv:2212.04539},
  year   = {2023}
}

Comments

16 pages; minor revision

R2 v1 2026-06-28T07:26:48.077Z