Dimensions of l^p-cohomology groups

Dimensions of l^p-cohomology groups

Let G be an infinite discrete group of type FP-infinity and let p>1 be a real number. We prove that the l^p-homology and cohomology groups of G are either 0 or infinite dimensional. We also show that the cardinality of the p-harmonic boundary of a finitely generated group is either 0, 1, or infin...

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Veröffentlicht in:arXiv.org 2010-05
Hauptverfasser: Grinshpon, Mark S, Linnell, Peter A, Puls, Michael J
Format: Artikel
Sprache:eng
Schlagworte:
Homology
Infinity
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Zusammenfassung:Let G be an infinite discrete group of type FP-infinity and let p>1 be a real number. We prove that the l^p-homology and cohomology groups of G are either 0 or infinite dimensional. We also show that the cardinality of the p-harmonic boundary of a finitely generated group is either 0, 1, or infinity.
ISSN:2331-8422