2003
DOI: 10.1023/b:kthe.0000015339.41953.04
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The p-chain Spectral Sequence

Abstract: 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.

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Cited by 22 publications
(12 citation statements)
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“…(1) Extensions 1 → Z n → G → F → 1 such that F is finite and the conjugation action of F on Z n is free outside 0 ∈ Z n , and G is of type F. Properties (M) and (NM) for this groups are established in [5].…”
Section: Groups In the Literaturementioning
confidence: 99%
See 1 more Smart Citation
“…(1) Extensions 1 → Z n → G → F → 1 such that F is finite and the conjugation action of F on Z n is free outside 0 ∈ Z n , and G is of type F. Properties (M) and (NM) for this groups are established in [5].…”
Section: Groups In the Literaturementioning
confidence: 99%
“…It is worth noticing that, in the more general context of virtually poly-cyclic groups, it is already known that the Bredon cohomological dimension and the virtual cohomological dimension are equal, see for instance [ are verified in [5].…”
Section: Groups In the Literaturementioning
confidence: 99%
“…For computation of the source, there are spectral sequences (Atiyah-Hirzebruch [26] and p-chain Davis-Lück [13]) which converge to the cosheaf L-homology of the classifying space B vc (Γ ) for Γ -actions with virtually cyclic isotropy. A group V is virtually cyclic if it contains a cyclic subgroup of finite index.…”
Section: Motivationmentioning
confidence: 99%
“…In this era of globalization as it is now, the demands of quality education is increasing (Mergendoller et al, 2006). The problems that arise in the world of education become a demand for teachers to adjust their learning (Davis, 2003). Therefore, a teacher constantly strives to adapt his/her learning to a constantly changing academic standard.…”
Section: Introductionmentioning
confidence: 99%