论文标题
丰富的类固醇，拓扑完整组，代数K理论光谱和无限环空间
Ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces
论文作者
论文摘要
受Szymik和Wahl在Higman-Thompson群体的同源性方面的工作的启发，我们基于小型置换类别的紧凑型开放式双分配的构建，建立了小组素，拓扑整体组，代数K理论光谱和无限环空间之间的一般联系。这使我们能够在良性类固醇的同源性方面分析拓扑完整群体的同源性不变性。 应用包括完整的合理计算，一般消失和无环的结果，用于拓扑完整组的组同源性，以及对所有最小的，较小的群体和比较的Matui的AH-conture。
Inspired by work of Szymik and Wahl on the homology of Higman-Thompson groups, we establish a general connection between ample groupoids, topological full groups, algebraic K-theory spectra and infinite loop spaces, based on the construction of small permutative categories of compact open bisections. This allows us to analyse homological invariants of topological full groups in terms of homology for ample groupoids. Applications include complete rational computations, general vanishing and acyclicity results for group homology of topological full groups as well as a proof of Matui's AH-conjecture for all minimal, ample groupoids with comparison.
