Secondary invariants for Frechet algebras and quasihomomorphisms

被引：0
|
作者：
Perrot, Denis [1 ]
机构：
[1] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France
来源：
DOCUMENTA MATHEMATICA | 2008年 / 13卷
关键词：
K-theory; bivariant cyclic cohomology; index theory;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Frechet algebra endowed with a multiplicatively convex topology has two types of invariants: homotopy invariants (topological K-theory and periodic cyclic homology) and secondary invariants (multiplicative K-theory and the non-periodic versions of cyclic homology). The aim of this paper is to establish a Riemann-Roch-Grothendieck theorem relating direct images for homotopy and secondary invariants of Frechet m-algebras under finitely summable quasihomomorphisms.
引用
收藏
页码：275 / 363
页数：89
相关论文
共 50 条
  • [41] Frechet algebras of global dimension zero
    Selivanov, YV
    ALGEBRA, 1996, : 225 - 236
  • [42] SMOOTH EXTENSIONS AND QUANTIZED FRECHET ALGEBRAS
    WANG, XL
    PACIFIC JOURNAL OF MATHEMATICS, 1995, 169 (02) : 353 - 385
  • [43] On the Arens regularity of Frechet algebras and their biduals
    Alimohammadi, Z.
    Rejali, A.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (04)
  • [44] GENERALIZED JORDAN HOMOMORPHISMS IN FRECHET ALGEBRAS
    Gordji, Madjid Eshaghi
    Savadkouhi, M. Bavand
    Park, Choonkil
    Lee, Jung Rye
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (02) : 391 - 401
  • [45] Countable inductive limits of frechet algebras
    Jean Esterle
    Journal d’Analyse Mathématique, 1997, 71 : 195 - 204
  • [46] Stable elements of Banach and Frechet algebras
    Allan, GR
    STUDIA MATHEMATICA, 1998, 129 (01) : 67 - 96
  • [47] MODULE HOMOMORPHISMS FROM FRECHET ALGEBRAS
    Shayanpour, H.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2017, 43 (02): : 455 - 466
  • [48] DERIVATIONS OF FRECHET NUCLEAR GB*-ALGEBRAS
    Weigt, M.
    Zarakas, I.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 92 (02) : 290 - 301
  • [49] Spatiality of derivations of Frechet GB*-algebras
    Weigt, Martin
    Zarakas, Ioannis
    STUDIA MATHEMATICA, 2015, 231 (03) : 219 - 239
  • [50] CONTINUITY OF CHARACTERS ON FRECHET ALGEBRAS WITH BASES
    AKKAR, M
    ELAZHARI, M
    OUDADESS, M
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1988, 31 (02): : 168 - 174
12345