This is the second part of our series about the Higson–Roe sequence for étale groupoids. We devote this part to the proof of the universal K-theory surgery exact sequence which extends the seminal results of N. Higson and J. Roe to the case of transformation groupoids. In the process, we prove the expected functoriality properties as well as the Paschke–Higson duality theorem.

中文翻译：

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étalegroupoids的Higson-Roe序列。II。等变族的通用序列

这是我们关于étalegroupoids的Higson-Roe序列的系列文章的第二部分。我们将这一部分用于通用K理论手术精确序列的证明，该序列将N. Higson和J. Roe的开创性结果扩展到了变换类群的情况。在这个过程中，我们证明了预期的函数性质以及Paschke – Higson对偶定理。