论文标题
非交换紧凑型表面的光谱三重
A spectral triple for noncommutative compact surfaces
论文作者
论文摘要
提出了一个狄拉克操作员，该操作员将对所有定义为Toeplitz代数的亚代代代代数的非交通式紧凑表面产生1+的常规频谱三重。分析了非交通性自旋几何形状的条件，并认为某些要求的失败主要是由于错误选择了非交通性旋转束的错误。
A Dirac operator is presented that will yield a 1+ summable regular even spectral triple for all noncommutative compact surfaces defined as subalgebras of the Toeplitz algebra. Connes' conditions for noncommutative spin geometries are analyzed and it is argued that the failure of some requirements is mainly due to a wrong choice of a noncommutative spin bundle.
