Spectral Triples for nonarchimedean local fields
Operator Algebras
2016-12-13 v1
Abstract
Using associated trees, we construct a spectral triple for the C-algebra of continuous functions on the ring of integers of a nonarchimedean local field of characteristic zero, and investigate its properties. Remarkably, the spectrum of the spectral triple operator is closely related to the roots of a -hypergeometric function. We also study a non compact version of this construction for the C-algebra of continuous functions on , vanishing at infinity.
Keywords
Cite
@article{arxiv.1612.03460,
title = {Spectral Triples for nonarchimedean local fields},
author = {Slawomir Klimek and Sumedha Rathnayake and Kaoru Sakai},
journal= {arXiv preprint arXiv:1612.03460},
year = {2016}
}