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