Strong Pedersen rigidity for coactions of compact groups
Operator Algebras
2023-09-29 v5
Abstract
We prove a version of Pedersen's outer conjugacy theorem for coactions of compact groups, which characterizes outer conjugate coactions of a compact group in terms of properties of the dual actions. In fact, we show that every isomorphism of a dual action comes from a unique outer conjugacy of a coaction, which in this context should be called strong Pedersen rigidity. We promote this to a category equivalence.
Keywords
Cite
@article{arxiv.2212.10379,
title = {Strong Pedersen rigidity for coactions of compact groups},
author = {S. Kaliszewski and Tron Omland and John Quigg and Jonathan Turk},
journal= {arXiv preprint arXiv:2212.10379},
year = {2023}
}
Comments
14 pages. Corrected confusion regarding the term "dual action", and added uniqueness clause to Pedersen's theorem. To appear in IJM