Relation between the Farrell-Jones conjectures in algebraic and hermitian K-theory

被引：0

作者：

Battikh, Naoufel ^{[1
]}

机构：

[1] Inst Preparatoire Etud Ingn Nabeul, Nabeul 8000, Tunisia

来源：

ANNALES DE L INSTITUT FOURIER | 2007年 / 57卷 / 01期

关键词：

D O I：

10.5802/aif.2256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if the Farrell-Jones conjecture for algebraic K-theory is true then the same conjecture for hermitian K-theory is equivalent to the fact that it exists p is an element of Z such that the assembly map is an isomorphism in degrees p and p + 1.

引用

页码：197 / 207

页数：11

共 50 条

[21] Lambda structure in the K-theory of hermitian algebraic fibre bundles
Roessler, D
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1996, 322 (03): : 251 - 254
[22] HERMITIAN K-THEORY
KAROUBI, M
VILLAMAY.O
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 272 (19): : 1237 - &
[23] THE K-THEORETIC FARRELL-JONES CONJECTURE FOR CAT(0)-GROUPS
Wegner, Christian
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 140 (03) : 779 - 793
[24] K-theory, Hermitian K-theory and the Karoubi Tower
Kobal, D
K-THEORY, 1999, 17 (02): : 113 - 140
[25] ALGEBRAIC K-THEORY AND TOPOLOGICAL K-THEORY
KAROUBI, M
VILLAMAY.O
MATHEMATICA SCANDINAVICA, 1971, 28 (02) : 265 - &
[26] Algebraic K-theory of topological K-theory
Ausoni, C
Rognes, J
ACTA MATHEMATICA, 2002, 188 (01) : 1 - 39
[27] HERMITIAN ALGEBRAIC K-THEORY OF SIMPLICIAL RINGS AND TOPOLOGICAL-SPACES
BURGHELEA, D
FIEDOROWICZ, Z
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1985, 64 (02): : 175 - 235
[28] On the algebraic K-theory of the complex K-theory spectrum
Christian Ausoni
Inventiones mathematicae, 2010, 180 : 611 - 668
[29] Algebraic K-theory and the conjectural Leibniz K-theory
Loday, JL
K-THEORY, 2003, 30 (02): : 105 - 127
[30] Topological K-theory of algebraic K-theory spectra
Mitchell, SA
K-THEORY, 2000, 21 (03): : 229 - 247

← 1 2 3 4 5 →