Spectral dimension of p-adic integers

The notion of spectral dimension was introduced by Chakraborty and Pal in \cite{cp}. In this paper, we show that the spectral dimension of the ring of p-adic integers, Zp, is equal to its manifold dimension, which is 0. Finally, we determine the K-groups of Zp, and show that the generators of K0(Zp) can be expressed as finite span of the characters of Zp.