论文标题
动力学系统的同源性和K理论。 I.无扭转的小型类固醇
Homology and K-theory of dynamical systems. I. torsion-free ample groupoids
论文作者
论文摘要
考虑到一个浓度的类固醇，我们在第二张纸上构建具有整数系数的群体同源性的频谱序列，只要群体固醇具有无扭转稳定剂并满足了Baum-Connes猜测的强形式。该构建基于迈耶和巢穴开发的鲍姆 - 康纳斯猜想的三角类别方法。我们还提出了一些应用程序来拓扑动态，并讨论了MATUI的HK猜想。
Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coefficients on the second sheet, converging to the K-groups of the (reduced) groupoid C*-algebra, provided the groupoid has torsion-free stabilizers and satisfies a strong form of the Baum-Connes conjecture. The construction is based on the triangulated category approach to the Baum-Connes conjecture developed by Meyer and Nest. We also present a few applications to topological dynamics and discuss the HK conjecture of Matui.
