We apply quantitative (or controlled) K-theory to prove that a certain Lp assembly map is an isomorphism for p ∈ [1,∞) when an action of a countable discrete group Γ on a compact Hausdorff space X has finite dynamical complexity. When p = 2, this is a model for the Baum–Connes assembly map for Γ with coefficients in C(X), and was shown to be an isomorphism by Guentner et al.

中文翻译：

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Lp算子叉积的动态复杂度和K理论

我们应用定量（或受控）ķ- 理论来证明某个大号p装配图是一个同构p ∈ [1,∞)当一个可数离散群的动作Γ紧致豪斯多夫空间X具有有限的动态复杂性。什么时候p = 2, 这是 Baum-Connes 装配图的模型Γ系数在C(X), 并被 Guentner 证明是同构等。