The integral K-theoretic Novikov conjecture for groups with finite asymptotic dimension

被引：28

作者：

Carlsson, G ^{[1
]}

Goldfarb, B

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

来源：

关键词：

Disjoint Union; Asymptotic Dimension; Compact Space; Coxeter Group; Weak Equivalence;

D O I：

10.1007/s00222-003-0356-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The integral assembly map in algebraic K-theory is split injective for any geometrically finite discrete group with finite asymptotic dimension.

引用

页码：405 / 418

页数：14

共 10 条

[1]

Bell G, 2001, Algebr. Geom. Topol., V1, P57

[2]

BELL G, 2002, ARXIVMATHGR0212032

[3]

CARLSSON G, HOMOLOGICAL COHERENC

[4]

CARLSSON G, 1995, NOVIKOV CONJECTURES, V2, P5

[5]

Carlsson G., 1995, K-THEORY, V9, P305

[6]

DRANISHNIKOV A, 1999, TOPOLOGY P, V24, P135

[7] On hypersphericity of manifolds with finite asymptotic dimension [J].

Dranishnikov, AN .

[8] Asymptotic topology [J].

Dranishnikov, AN .

[9]

GROMOV M, 1993, GEOMETRIC GROUPS THE, V2

Yu, GL .