2018/03/26 by Saurabh, Bipul
#46L87 #58B32 #58B34 #FOS: Mathematics #Operator Algebras (math.OA)
paper · doi:10.48550/arxiv.1803.09407
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.