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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 .
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Alexander Engel, Clara Löh, Polynomially weighted -completions and group homology. J. Comb. Algebra 4 (2020), no. 1, pp. 87–109DOI 10.4171/JCA/40