2022/12/20 by Kaliszewski, S., Omland, Tron, Quigg, John +1
#46L05 (Primary) #46L55 (Secondary) #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.2212.10379
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.