Spectral dimension of spheres
Operator Algebras
2018-03-28 v1
Abstract
In this paper, we associate a growth graph and a length operator to a quotient space of a semisimple compact Lie group. Under certain assumptions, we show that the spectral dimension of a homogeneous space is greater than or equal to summability of the length operator. Using this, we compute spectral dimensions of spheres.
Keywords
Cite
@article{arxiv.1803.09407,
title = {Spectral dimension of spheres},
author = {Bipul Saurabh},
journal= {arXiv preprint arXiv:1803.09407},
year = {2018}
}
Comments
Preliminary version. arXiv admin note: text overlap with arXiv:1707.09497