Dimensions of l^p-cohomology groups

2010/05/11 by Mark Grinshpon, Grinshpon, Mark S., Peter A. Linnell +3
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Holomorphic and Operator Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1005.1914

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.

Related

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