The definition of the shuffle product on ∞-Tate objects in the published article is erroneous. There is no problem with the shuffle product for n-Tate objects.
Keywords: Tate vector space, Tate object, normally ordered product, higher adeles, higher local fields
2020 MSC: 14A22, 18B30
Theory and Applications of Categories, Vol. 39, 2023, No. 7, pp 186-188.