Polynomially weighted $\ell^p$-completions and group homology
Group Theory
2019-07-25 v2
Abstract
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 .
Keywords
Cite
@article{arxiv.1903.11486,
title = {Polynomially weighted $\ell^p$-completions and group homology},
author = {Alexander Engel and Clara Loeh},
journal= {arXiv preprint arXiv:1903.11486},
year = {2019}
}
Comments
v2: incorporated comments of the referee; to appear in the Journal of Combinatorial Algebra; 22 pages