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K-groups of Toeplitz algebras on connected domains

K-groups of Toeplitz algebras on connected domains
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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.
出处 《Science China Mathematics》 SCIE 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)
关键词 essential boundary cohomotopy group K-GROUP 46L80 47B35 essential boundary cohomotopy group K-group.
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