In this project, we study some local and whole properties of Toeplitz operators defined on discrete groups. The results of this project will add some new topics in the study of operator algebras, and thus promote the research level of the related fields. Keywords: discrete group; C*-algebra; Toeplitz operator
用groupoid方法研究离散交换群上的Toeplitz算子代数;研究离散交换群上相应于广义Hardy空间的复合算子的局部性质;研究离散(非交换)群上Toeplitz算子的整体性质.本项目的完成,将为算子代数这一领域提供不少新的研究素材,在算子理论,算子代数K--理论和指标理论等方面将会有重要的应用.
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数据更新时间:2023-05-31
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