Dimensions of l^p-cohomology groups
Functional Analysis
2010-05-12 v1 Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1005.1914,
title = {Dimensions of l^p-cohomology groups},
author = {Mark S. Grinshpon and Peter A. Linnell and Michael J. Puls},
journal= {arXiv preprint arXiv:1005.1914},
year = {2010}
}
Comments
9 pages