论文标题
量子磁盘不是量子组
The quantum disk is not a quantum group
论文作者
论文摘要
我们表明，量子盘，即对应于Toeplitz C*-Algebra的量子空间不承认任何紧凑的量子组结构。我们证明，如果存在这样的结构，则所得的紧凑型量子组将同时为KAC类型，而不是KAC类型。解决方案中使用的主要工具来自I型局部紧凑型量子群的理论，也来自希尔伯特空间上的操作者理论。
We show that the quantum disk, i.e. the quantum space corresponding to the Toeplitz C*-algebra does not admit any compact quantum group structure. We prove that if such a structure existed the resulting compact quantum group would simultaneously be of Kac type and not of Kac type. The main tools used in the solution come from the theory of type I locally compact quantum groups, but also from the theory of operators on Hilbert spaces.
