Quantum dynamics of elliptic curves

Fuente: arXiv
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Main Author: Nikolaev, Igor V.
Format: Preprint
Published: 2018
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author Nikolaev, Igor V.
author_facet Nikolaev, Igor V.
contents We calculate K-theory of a crossed product $C^*$-algebra of the noncommutative torus with real multiplication by elliptic curve $\mathscr{E}(K)$ over a number field $K$. This result is used to evaluate the rank and the Shafarevich-Tate group of $\mathscr{E}(K)$.
format Preprint
id arxiv_https___arxiv_org_abs_1808_03493
institution arXiv
publishDate 2018
record_format arxiv
spellingShingle Quantum dynamics of elliptic curves
Nikolaev, Igor V.
Number Theory
Operator Algebras
11G05, 46L85
We calculate K-theory of a crossed product $C^*$-algebra of the noncommutative torus with real multiplication by elliptic curve $\mathscr{E}(K)$ over a number field $K$. This result is used to evaluate the rank and the Shafarevich-Tate group of $\mathscr{E}(K)$.
title Quantum dynamics of elliptic curves
topic Number Theory
Operator Algebras
11G05, 46L85
url https://arxiv.org/abs/1808.03493