Polynomially weighted l(p)-completions and group homology

Engel, Alexander and Loeh, Clara (2020) Polynomially weighted l(p)-completions and group homology. JOURNAL OF COMBINATORIAL ALGEBRA, 4 (1). pp. 87-109. ISSN 2415-6302, 2415-6310

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Abstract

We introduce polynomially weighted l(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, infinity).

Item Type: Article
Uncontrolled Keywords: BOUNDED COHOMOLOGY; NOVIKOV-CONJECTURE; Group homology; Novikov conjecture
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Clara Löh
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Apr 2021 06:27
Last Modified: 07 Apr 2021 06:27
URI: https://pred.uni-regensburg.de/id/eprint/45466

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