The p-chain spectral sequence
代数拓扑
2015-11-30 v1 K理论与同调
摘要
We introduce a new spectral sequence called the p-chain spectral sequence which converges to the (co-)homology of a contravariant C-space with coefficients in a covariant C-spectrum for a small category C. It is different from the corresponding Atiyah-Hirzebruch type spectral sequence. It can be used in combination with the Isomorphism Conjectures of Baum-Connes and Farrell-Jones to compute algebraic K- and L-groups of group rings and topological K-groups of reduced group C*-algebras.
引用
@article{arxiv.math/0212074,
title = {The p-chain spectral sequence},
author = {James F. Davis and Wolfgang Lueck},
journal= {arXiv preprint arXiv:math/0212074},
year = {2015}
}
备注
36 pages