论文标题
拓扑模糊的粗k词学
Topological equivariant coarse K-homology
论文作者
论文摘要
对于具有严格的$ g $ Action的$ c^{*} $ - 类别，我们构建了模棱两可的粗同源性理论示例。为此，我们首先在$ c^{*} $中介绍对象的ROE类别的版本，这些类别是由Bornological Chodlabs控制的，然后应用同源函数。然后，采用了这些模糊的同源性理论来验证轨道类别上的某些函子是否是CP功能。这一事实对装配图的注入性产生了影响。
For a $C^{*}$-category with a strict $G$-action we construct examples of equivariant coarse homology theories. To this end we first introduce versions of Roe categories of objects in $C^{*}$-categories which are controlled over bornological coarse spaces, and then apply a homological functor. These equivariant coarse homology theories are then employed to verify that certain functors on the orbit category are CP-functors. This fact has consequences for the injectivity of assembly maps.
