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arXiv · 2212.10379

Strong Pedersen rigidity for coactions of compact groups

S. Kaliszewski·Tron Omland·John Quigg·Jonathan Turk
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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.

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S. Kaliszewski, Tron Omland, John Quigg, Jonathan Turk. 2022-12-20. Strong Pedersen rigidity for coactions of compact groups. https://arxiv.org/abs/2212.10379

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