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On p^(j)-rank of Even K-groups of Rings of Integers: 《Acta Mathematica Sinica,English Series》2024年第10期2481-2496,共16页Meng Fai LIM; Supported by National Natural Science Foundation of China(Grant No.11771164);the Fundamental Research Funds for the Central Universities of CCNU(Grant No.CCNU20TD002)。; Let L/F be a finite Galois extension of number fields of degree n and let p be a prime which does not divide n.We shall study the p^(j)-rank of K_(2i)(O_(L))via its Galois module structure following the approaches of ...; 关键词：p^(j)-rank even K-groups rings of integers

Algebraic K-theory of Gorenstein projective modules: 《Frontiers of Mathematics in China》2018年第1期55-66,共12页Ruixin LI Miantao LIU Nan GAO; We introduce the Gorenstein algebraic K-theory space and the Gorenstein algebraic K-group of a ring, and show the relation with the classical algebraic K-theory space, and also show the ＇resolution theorem＇ in this ...; 关键词：Frobenius pair Gorenstein projective module Gorenstein algebraicK-group idempotent complete category RECOLLEMENT

On K-groups of Operator Algebras on HD_n Spaces and QD_n Spaces: 《Acta Mathematica Sinica,English Series》2010年第12期2355-2368,共14页Li Qiong LIN Huai Jie ZHONG Yun Nan ZHANG; Supported by National Natural Science Foundation of China (Grant Nos. 10926173 and 10771034);Natural Science Foundation of Fujian Province of China (Grant No. 2009J05002);Foundation of Technology and Development of Fuzhou University (Grant No. 2007-XY-11); We obtain the K-groups of the operator ideals contained in the class of Riesz operators. And based on the results, we calculate the K-groups of the operator algebras on HD nspaces and QDn spaces.; 关键词：HDn spaces QDn spaces operator algebras K-groups

On K-groups of Operator Algebra on the 1-shift Space被引量：1: 《Acta Mathematica Sinica,English Series》2008年第10期1675-1686,共12页Qiao Fen JIANG Huai Jie ZHONG; National Natural Science Foundation of China (10471025,10771034);National Natural Science Foundation of Fujian Province (S0650009);Foudation of the Education Department of Fujian Provience (JA04170,JB07047); In this paper we discuss the K-groups of Wiener algebra ;W. For the 1-shift space XGM2,We obtain a characterization of Fredholm operators on X^nGM2 for all n ∈ N. We also calculate the K-groups of operator algebra on...; 关键词：1-shift space operator algebra K-GROUP

The Fibered Isomorphism Conjecture for Complex Manifolds: 《Acta Mathematica Sinica,English Series》2007年第4期639-658,共20页S.K.ROUSHON; In this paper we show that the Fibered Isomorphism Conjecture of Farrell and Jones, corresponding to the stable topological pseudoisotopy functor, is true for the fundamental groups of a class of complex manifolds. A ...; 关键词：Complex projective variety Complex surfaces Whitehead group Fibered isomorphism conjecture Negative K-groups

K-groups of Toeplitz algebras on connected domains: 《Science China Mathematics》2007年第1期73-80,共8页Guang-fu CAO Xiao-hong WANG; This work was supported by the National Natural Science Foundation of China (Grant No. 10371082); In the present paper, it is proved that the K0-group of a Toeplitz algebra on any connected domain is always isomorphic to the K0-group of the relative continuous function algebra. In addition, the cohomotopy groups o...; 关键词：essential boundary cohomotopy group K-GROUP 46L80 47B35

Applications of k-covers被引量：1: 《Acta Mathematica Sinica,English Series》2006年第4期1151-1160,共10页G.DI MAIO Ljubisa D.R.KOCINAC Enrico MECCARIELLO; MURST-PRA 2000;MSTD RS,Grant N~0 1233; We investigate a role of k-covers in selection principles theory. Some results about relationships between Ramsey theory and game theory and selection principles that involve k-covers are also given.; 关键词：selection principles ω-cover γ-cover k-cover Hurewicz property k-groupability k-weak groupability game theory

On ultraproducts of operator algebras: 《Science China Mathematics》2005年第9期1284-1295,共12页LI Weihua; supported by the National Natural Science Foundation of China(Grant No.10471137).; Some basic questions on ultraproducts of C~*-algebras and von Neumann al- gebras,including the relation to K-theory of C~*-algebras are considered.More specifically, we prove that under certain conditions,the K-groups...; 关键词：von NEUMANN algebras C*-algebras ultraproducts K-group DOUBLE commutants.

Some G-M-type Banach spaces and K-groups of operator algebras on them被引量：7: 《Science China Mathematics》2004年第3期372-392,共21页ZHONG Huaijie CHEN Dongxiao CHEN Jianlan Department of Mathematics, Fujian Normal University, Fuzhou 350007, China; This Work was supported by the National Natural Science Foundation of China(Grant No.10171014);the Natural Science Foundation of Fujian Province of China.; By providing several new varieties of G-M-type Banachspaces according to decomposable and compoundable properties, this paper discusses the operator structures of thesespaces and the K-theory of the algebra of the ope...; 关键词：incompoundable BANACH space RADICAL operator ideal BANACH algebra K-theory.

THE K-THEORY AND THE CLASSIFICATION OF THE IRRATIONAL ROTATION GROUPOID C^(*)-ALGEBRAS被引量：1: 《Chinese Annals of Mathematics,Series B》1997年第2期257-264,共8页YAN SHAOZONG CHEN XIAOMAN XU SHENGZHI; The authors determine the invariants of the irrational rotationC^(*)-algebras over theL-shaped domain in C^(2) by the maximal radical series.; 关键词：K-GROUP Maximal radical series C^(*)-algebra

K-GROUP