On the MacLane cohomology for the ring of integers (Q1373495)

The authors calculate the Mac Lane cohomology of the integers, \(\text{HML}^*(\mathbb{Z})\), re-doing algebraically Bökstedt's topological calculation of \(\text{THH}_*(\mathbb{Z})=\text{HML}_*(\mathbb{Z})\). They also give the algebra structure of \(\text{HML}^*(\mathbb{Z})\) with respect to the Yoneda product. There is a calculation of Mac Lane cohomology of the integers with coefficients in the functors \(\text{Sym}^n\) and \(\Lambda^n\), \(n\geq 2\). The result on \(\text{HML}^*(\mathbb{Z})=\text{HML}^*(\mathbb{Z},\text{id})\) is read off from a spectral sequence with \(E^2_{s,t}=\text{HML}^*(\mathbb{Z},\Lambda^{t+1})\) whose abutment is known.