June 27, 2024Open Access

Spectral dimension of p-adic integers

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Abstract

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. (Thu,) studied this question.

synapsesocial.com/papers/68e6312bb6db6435875c3975 https://doi.org/https://doi.org/10.48550/arxiv.2406.18890

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