Categories with conjugation and octagons of Witt groups
arXiv:2607.06454 · doi:10.1016/j.jalgebra.2026.06.024
Abstract
A categorical approach is proposed for the construction of 8-periodic chain complexes of Witt groups of categories with duality. Exactness of the resulting sequences is proved under the hypothesis that the categories are abelian and artinian or when the endomorphism algebra of each object is semilocal and rad-adically complete.
The first author is deceased