Algebras of operations in K-theory

被引：9
作者：
Clarke, F
Crossley, M [1 ]
Whitehouse, S
机构：
[1] Univ Wales Swansea, Dept Math, Swansea SA2 8PP, W Glam, Wales
[2] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England
来源：
TOPOLOGY | 2005年 / 44卷 / 01期
关键词：
K-theory operations; Gaussian polynomials;
D O I：
10.1016/j.top.2004.05.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe explicitly the algebras of degree zero operations in connective and periodic p-local complex K-theory. Operations are written uniquely in terms of certain infinite linear combinations of Adams operations, and we give formulas for the product and coproduct structure maps. It is shown that these rings of operations are not Noetherian. Versions of the results are provided for the Adams summand and for real K-theory. (C) 2004 Elsevier Ltd. All rights reserved.
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收藏
页码：151 / 174
页数：24
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