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arXiv · 2512.03511

Magnetic Equivariant Graded Brauer Group

Higinio Serrano·Bernardo Uribe
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Abstract

Given a magnetic finite group, we consider the similarity classes of magnetic equivariant central simple graded algebras over the complex numbers. We call this set the magnetic equivariant graded Brauer group and its structure as an abelian group is explicitly determined. Following Karoubi, we argue that the elements of this graded Brauer group parametrize the twistings of the magnetic equivariant K-theory of a point.

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Higinio Serrano, Bernardo Uribe. 2025-12-03. Magnetic Equivariant Graded Brauer Group. https://arxiv.org/abs/2512.03511

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