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Higher algebraic $K$-groups and $\mathcal D$-split sequences
Algebraic K-theory Derived equivalence D -split sequence GV-ideal Mayer-Vietoris sequence
2011/9/21
Abstract: In this paper, we use $\mathcal D$-split sequences and derived equivalences to provide formulas for calculation of higher algebraic $K$-groups (or mod-$p$ $K$-groups) of certain matrix subri...
(Self-)similar groups and the Farrell-Jones conjectures
(Self-)similar groups the Farrell-Jones conjectures K-Theory and Homology
2011/9/21
Abstract: We show that contracting self-similar groups satisfy the Farrell-Jones conjectures as soon as their universal contracting cover is non-positively curved. This applies in particular to bounde...
On groups with cyclic torsion
Bredon homology classifying space for proper actions aspherical presentations Hempel groups Baum-Connes conjecture
2011/8/24
Abstract: In this paper we introduce a common framework for describing the topological part of the Baum-Connes conjecture for a wide class of groups. We compute the Bredon homology for groups with asp...
Somekawa's K-groups and Voevodsky's Hom groups (preliminary version)
Somekawa's K-groups Voevodsky's Hom groups (preliminary version)
2010/12/10
We construct a surjective homomorphism from So-mekawa’s K-group associated to a finite collection of semi-abelian varieties over a perfect field to a corresponding Hom group in Vo-
evodsky’s triangul...