Weight filtrations via commuting automorphisms
Weight filtrations via commuting automorphisms
复制标题
通过通勤自同构进行权重过滤
DOI：
--
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
Daniel R. Grayson
中科院分区：
文献类型：
--
作者：
Daniel R. Grayson
考虑Goodwillie和Lichtenbaum提出的正则Notherian环的K-理论空间的滤子，证明了它的连续商是显式单纯阿贝尔群的几何实现.权为t的滤子涉及投射R-模的交换自同构的t-元组。这还有待于证明亚当斯手术在过滤上起到了适当的作用。
We consider a filtration of the K-theory space for a regular noetherian ring proposed by Goodwillie and Lichtenbaum and show that its successive quotients are geometric realizations of explicit simplicial abelian groups. The filtration in weight t involves t-tuples of commuting automorphisms of projective R-modules. It remains to show that the Adams operations act appropriately on the filtration.