English

On tea, donuts and non-commutative geometry

Algebraic Geometry 2018-03-26 v4 History and Overview Operator Algebras

Abstract

As many will agree, it feels good to complement a cup of tea by a donut or two. This sweet relationship is also a guiding principle of non-commutative geometry known as Serre Theorem. We explain the algebra behind this theorem and prove that elliptic curves are complementary to the so-called non-commutative tori.

Keywords

Cite

@article{arxiv.1605.07543,
  title  = {On tea, donuts and non-commutative geometry},
  author = {Igor Nikolaev},
  journal= {arXiv preprint arXiv:1605.07543},
  year   = {2018}
}

Comments

to appear Surveys in Mathematics and its Applications

R2 v1 2026-06-22T14:08:29.582Z