The notion of spectral dimension was introduced by Chakraborty and Pal in {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.
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Biswas et al. (2024) studied this question.
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