论文标题

紧凑型组的共同体的刚性刚度很强

Strong Pedersen rigidity for coactions of compact groups

论文作者

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

论文摘要

我们证明了佩德森(Pedersen)的外部共轭定理的一种版本,用于紧凑型组的共同体,该版本以双重动作的性质来表征紧凑型组的外部共轭共同体。实际上,我们表明,双重动作的每一个同构都均来自共同的独特的外部结合,在这种情况下,该偶像性应称为强大的PEDERSEN刚性。我们将其提升为类别的等效性。

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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