L-2-Betti numbers and Plancherel measure

Henrik Densing Petersen, Alain Valette
Academic Press Inc Elsevier Science, 2014
Journal paper

We compute L-2-Betti numbers of postliminal, locally compact, unimodular groups in terms of ordinary dimensions of reduced cohomology with coefficients in irreducible unitary representations and the Plancherel measure. This allows us to compute the L-2-Betti numbers for semi-simple Lie groups with finite center, simple algebraic groups over local fields, and automorphism groups of locally finite trees acting transitively on the boundary. (C) 2013 Elsevier Inc. All rights reserved.

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Henrik Densing Petersen, Alain Valette
Academic Press Inc Elsevier Science, 2014
Journal paper

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https://infoscience.epfl.ch/record/198017?ln=en

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