Polynomially weighted $\ell^p$-completions and group homology

Alexander Engel, Clara Loeh

Published 2019-03-27Version 1

We introduce polynomially weighted $\ell^p$-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 $p$ in the range $(1,\infty)$.