Bivariant K-theory and the Novikov conjecture

被引：61
|
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.
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页码：563 / 581
页数：19
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