K-theory of rational quadratic forms
Number Theory
2019-10-09 v3 Operator Algebras
Abstract
We compute the genus of a rational quadratic form in terms of the K-theory of a C*-algebra attached to the adelic orthogonal group of the form. As a corollary, one gets a higher composition law for the rational quadratic forms. As an illustration, we consider the Gauss composition of the binary quadratic forms.
Keywords
Cite
@article{arxiv.1711.00743,
title = {K-theory of rational quadratic forms},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:1711.00743},
year = {2019}
}
Comments
8 pages, 2 figures; an update