| dc.contributor.author |
Biswas, Surajit |
|
| dc.contributor.author |
Saurabh, Bipul |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2024-07-05T13:53:58Z |
|
| dc.date.available |
2024-07-05T13:53:58Z |
|
| dc.date.issued |
2024-06 |
|
| dc.identifier.citation |
Biswas, Surajit and Saurabh, Bipul, "Spectral dimension of p-adic integers", arXiv, Cornell University Library, DOI: arXiv:2406.18890, Jun. 2024. |
|
| dc.identifier.uri |
http://arxiv.org/abs/2406.18890 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/10200 |
|
| dc.description.abstract |
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. |
|
| dc.description.statementofresponsibility |
by Surajit Biswas and Bipul Saurabh |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.title |
Spectral dimension of p-adic integers |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|