A periodicity theorem in K-theory for finite covariant systems

被引:0
|
作者
Tian, GH [1 ]
机构
[1] Jilin Univ Technol, Dept Math, Changchun 130025, Peoples R China
来源
K-THEORY | 2000年 / 19卷 / 02期
关键词
Banach algebras; periodicity theorem;
D O I
10.1023/A:1007854721799
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A be a complex Banach algebra. In this paper, we prove a periodicity theorem that K(S-2 A, G, alpha) congruent to K(A, G, alpha), where (A, G, alpha) is a finite covariant system and K(A, G, alpha) is an Abelian group associated with (A, G, alpha).
引用
收藏
页码:185 / 193
页数:9
相关论文
共 50 条
  • [1] A Periodicity Theorem in K-theory for Finite Covariant Systems
    田国辉
    江泽坚
    东北数学, 1994, (02) : 143 - 144
  • [2] BOTTS PERIODICITY IN GENERAL K-THEORY
    KAROUBI, M
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 270 (20): : 1305 - &
  • [3] The additivity theorem in K-theory
    Jones, KC
    Kim, Y
    Mhoon, AH
    Santhanam, R
    Walker, BJ
    Grayson, DR
    K-THEORY, 2004, 32 (02): : 181 - 191
  • [4] Periodicity theorems and conjectures in hermitian K-theory
    Karoubi, Max
    JOURNAL OF K-THEORY, 2009, 4 (01) : 67 - 75
  • [5] PERIODICITY OF HERMITIAN K-THEORY - TOPOLOGICAL CASE
    KAROUBI, M
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 273 (14): : 599 - &
  • [6] PERIODICITY OF HERMITIAN K-THEORY - FUNDAMENTAL THEOREMS
    KAROUBI, M
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 273 (19): : 840 - &
  • [7] A longitudinal Lefschetz theorem in K-theory
    Benameur, MT
    K-THEORY, 1997, 12 (03): : 227 - 257
  • [8] An index theorem in differential K-theory
    Freed, Daniel S.
    Lott, John
    GEOMETRY & TOPOLOGY, 2010, 14 (02) : 903 - 966
  • [9] A DEVISSAGE THEOREM IN WALDHAUSEN K-THEORY
    YAO, DY
    JOURNAL OF ALGEBRA, 1995, 176 (03) : 755 - 761
  • [10] A DESCENT THEOREM FOR HERMITIAN K-THEORY
    SNAITH, V
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1987, 39 (04): : 835 - 847