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 endo-morphism algebra of each object is semilocal and rad-adically complete.
Lewis, D., & Tignol, J.-P. (2027). Categories with conjugation and octagons of Witt groups. Journal of Algebra, 710, 447-487. https://doi.org/10.1016/j.jalgebra.2026.06.024 (Original work published 2027)