Bivariant K-theory and the Novikov conjecture

被引：62

作者：

Higson, N ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2000年 / 10卷 / 03期

关键词：

Group Action; High Signature; Amenable Group; Algebraic Counterpart; Novikov Conjecture;

D O I：

10.1007/PL00001630

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Kasparov's bivariant K-theory is used to prove two theorems concerning the Novikov higher signature conjecture. The first generalizes a result of J. Roe and the author on amenable group actions. The second is a C*-algebraic counterpart of a theorem of G. Carlsson and E. Pedersen.

引用

页码：563 / 581

页数：19

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