On a Poisson summation formula for noncommutative tori
Operator Algebras
2019-10-22 v6 Number Theory
Representation Theory
Abstract
It is proved that a maximal abelian subalgebra of the noncommutative torus commutes with the Laplace operator on a complex torus. As a corollary, one gets an analog of the Poisson summation formula for noncommutative tori.
Keywords
Cite
@article{arxiv.1106.5729,
title = {On a Poisson summation formula for noncommutative tori},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:1106.5729},
year = {2019}
}
Comments
to appear Complex Analysis and Operator Theory