Ranks of low K-groups of fibre products

被引：1

作者：

Zhu, Xiaosheng ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2007年 / 35卷 / 01期

关键词：

algebraic K-theory; fibre product; Mayer-Vietoris exact sequence; rank of K-group;

D O I：

10.1080/00927870601042191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we discuss the ranks of low K-groups in pullback diagrams and give the upper and lower bounds on ranks of K-groups of a fibre product (or pullback) under some suitable conditions.

引用

页码：339 / 354

页数：16

共 50 条

[1] FREE PRODUCTS IN CATEGORY OF K-GROUPS
ORDMAN, ET
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A109 - A109
[2] K-GROUPS OF REDUCED CROSSED-PRODUCTS BY FREE GROUPS
PIMSNER, M
VOICULESCU, D
[J]. JOURNAL OF OPERATOR THEORY, 1982, 8 (01) : 131 - 156
[3] K-GROUPS AND DUALITY
NOBLE, N
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 151 (02) : 551 - &
[4] Higher K-Groups
Penner, Robert
[J]. TOPOLOGY AND K-THEORY: LECTURES BY DANIEL QUILLEN, 2020, 2262 : 159 - 163
[5] EXT-GROUPS AS K-GROUPS
PASCHKE, WL
[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1982, 38 : 185 - 186
[6] The generators of the K-groups of the sphere
Schulz-Baldes, Hermann
Stoiber, Tom
[J]. EXPOSITIONES MATHEMATICAE, 2023, 41 (04)
[7] THE K-GROUPS FOR FREE-PRODUCTS OF C-STAR-ALGEBRAS
CUNTZ, J
[J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1982, 38 : 81 - 84
[8] ON THE SIZE OF CERTAIN K-GROUPS
HURRELBRINK, J
[J]. COMMUNICATIONS IN ALGEBRA, 1982, 10 (17) : 1873 - 1889
[9] QUASI MULTIPLICATION AND K-GROUPS
Lee, Tsiu-Kwen
Sheu, Albert Jeu-Liang
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2013, 94 (02) : 257 - 267
[10] A NOTE ON INJECTIVITY OF K-GROUPS
YUGANDHAR, K
MURTHY, CK
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1991, 22 (03): : 193 - 197

← 1 2 3 4 5 →