THE CYCLIC HOMOLOGY OF AFFINE ALGEBRAS

被引：3
|
作者：
EMMANOUIL, I
机构：
[1] Department of Mathematics, The University of Michigan, Ann Arbor, 48109, MI
来源：
INVENTIONES MATHEMATICAE | 1995年 / 121卷 / 01期
关键词：
D O I：
10.1007/BF01884288
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the cyclic homology of affine algebras over a field of characteristic 0. We show that if A is such an algebra the inverse system (HC*(+2m)(A), S)(m) decomposes in sufficiently large degrees into the direct sum of the constant system with value +H-l is an element of Z(inf)*(+2l)(A) and a system which is essentially zero. The essentially zero component is the kernel of the Loday-Quillen map mu and the behavior of the restriction of S on it is closely related to the degeneracy of the spectral sequence associated with Connes' exact couple of A.
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页码：1 / 19
页数：19
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