Quantum dynamics of elliptic curves
arXiv:1808.03493 · doi:10.1007/s00010-025-01165-6
Abstract
We calculate K-theory of a crossed product -algebra of the noncommutative torus with real multiplication by elliptic curve over a number field . This result is used to evaluate the rank and the Shafarevich-Tate group of .
to appear in Aequationes Mathematicae