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arXiv · 2212.04539

Coactions on C*-algebras and universal properties

Erik Bédos·S. Kaliszewski·John Quigg·Jonathan Turk
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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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Erik Bédos, S. Kaliszewski, John Quigg, Jonathan Turk. 2022-12-08. Coactions on C*-algebras and universal properties. https://arxiv.org/abs/2212.04539

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