K-groups of Toeplitz algebras on connected domains

作者: 刊名:Science in China(Series A:Mathematics) 上传者:尚红军

【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.

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