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Coactions on C*-algebras and universal properties

2022/12/08 by Bédos, Erik, Kaliszewski, S., Quigg, John +1
#46L05 (Primary) #46L55 (Secondary) #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2212.04539

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.

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