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 ...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 Iwasawa and Komatsu–Nakano.Along the way,we generalize previous observations of Browkin,Wu and Zhou on K_(2)-groups to higher even K-groups.We also give examples to illustrate our results.Finally,we apply our discussion to refine a result of Kitajima pertaining to the p-rank of even K-groups in the cyclotomic Z_(l)-extension,where l≠p.展开更多
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...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 the 1-shift space XGM2.展开更多
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...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 of essential boundaries of some connected domains are computed, and the K0-groups of the continuous function algebras on these domains are also computed.展开更多
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.
基金Supported by National Natural Science Foundation of China(Grant No.11771164)the Fundamental Research Funds for the Central Universities of CCNU(Grant No.CCNU20TD002)。
文摘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 Iwasawa and Komatsu–Nakano.Along the way,we generalize previous observations of Browkin,Wu and Zhou on K_(2)-groups to higher even K-groups.We also give examples to illustrate our results.Finally,we apply our discussion to refine a result of Kitajima pertaining to the p-rank of even K-groups in the cyclotomic Z_(l)-extension,where l≠p.
基金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)
文摘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 the 1-shift space XGM2.
基金This work was supported by the National Natural Science Foundation of China (Grant No. 10371082)
文摘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 of essential boundaries of some connected domains are computed, and the K0-groups of the continuous function algebras on these domains are also computed.
基金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)
文摘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.
