Rational magnetic equivariant K-theory
K-Theory and Homology
2025-03-11 v2 Materials Science
Abstract
We introduce the magnetic equivariant K-theory groups as the K-theory groups associated to magnetic groups and their respective magnetic equivariant complex bundles. We restrict the magnetic group to its subgroup of elements that act complex linearly, and we show that this restriction induces a rational isomorphism with the conjugation invariant part of the complex equivariant K-theory of the restricted group. This isomorphism allows to calculate the torsion free part of the magnetic equivariant K-theory groups reducing it to known calculations in complex equivariant K-theory
Cite
@article{arxiv.2412.04603,
title = {Rational magnetic equivariant K-theory},
author = {Higinio Serrano and Bernardo Uribe and Miguel A. Xicoténcatl},
journal= {arXiv preprint arXiv:2412.04603},
year = {2025}
}
Comments
16 pages. To appear in Revista de la Academia Colombiana de Ciencias Exactas, Fisicas y Naturales. https://raccefyn.co/index.php/raccefyn