Dimensions of l^p-cohomology groups

Details Dimensions of l^p-cohomology groups Dimensions of l^p-cohomology groups

2010-05-11

arxiv.org/abs/1005.1914v1

Mathematics

Functional Analysis

9 pages

Scientific paper

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.

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