K-groups of Toeplitz algebras on connected domains  

作　　者：Guang-fu CAO Xiao-hong WANG 

机构地区：[1]School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China [2]Department of Mathematics,Sichuan University,Chengdu 610064,China

出　　处：《Science China Mathematics》2007年第1期73-80,共8页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (Grant No. 10371082)

摘　　要：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.In the present paper, it is proved that the K 0-group of a Toeplitz algebra on any connected domain is always isomorphic to the K 0-group of the relative continuous function algebra. In addition, the cohomotopy groups of essential boundaries of some connected domains are computed, and the K 0-groups of the continuous function algebras on these domains are also computed.

关 键 词：essential boundary cohomotopy group K-GROUP 46L80 47B35 

分 类 号：O153.4[理学—数学]