We introduce polynomially weighted -norms on the bar complex of a finitely generated group. We prove that, for groups of polynomial or exponential growth, the homology of the completed complex does not depend on the value of in the range .
Cite this article
Alexander Engel, Clara Löh, Polynomially weighted -completions and group homology. J. Comb. Algebra 4 (2020), no. 1, pp. 87–109DOI 10.4171/JCA/40