论文标题
举起光谱三元组为非交通性主捆绑包
Lifting spectral triples to noncommutative principal bundles
论文作者
论文摘要
给定一个紧凑型谎言组$ g $在Unital C*-Algebra $ \ Mathcal {a} $上，以及在相应的固定点代数$ \ Mathcal {a}^g $上的光谱三重，我们在$ \ nathcal {a a} $上呈现系统的频谱构建，该频谱{a} $ nede Geencal {a} $ \ Mathcal {a}^g $和$ g $。我们将构造与精选的既定例子进行比较。
Given a free action of a compact Lie group $G$ on a unital C*-algebra $\mathcal{A}$ and a spectral triple on the corresponding fixed point algebra $\mathcal{A}^G$, we present a systematic and in-depth construction of a spectral triple on $\mathcal{A}$ that is build upon the geometry of $\mathcal{A}^G$ and $G$. We compare our construction with a selection of established examples.
