Polynomially weighted ell^p-completions and group homology
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🧮 math.GR
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complexgrouphomologypolynomiallyweightedcompletedcompletionsdepend
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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 $(1,\infty)$.
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