科研之友
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摘要
We construct a spectral triple for the C* -algebra of continuous functions on the space of p-adic integers by using a rooted tree obtained from coarse-grained approximation of the space, and the forward derivative on the tree. Additionally, we verify that our spectral triple satisfies the properties of a compact spectral metric space, and we show that the metric on the space of p-adic integers induced by the spectral triple is equivalent to the usual p-adic metric.
- 出版日期2014-11
