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research article
L-2-Betti numbers and Plancherel measure
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.
Type
research article
Web of Science ID
WOS:000330928200017
Authors
Publication date
2014
Publisher
Published in
Volume
266
Issue
5
Start page
3156
End page
3169
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 2, 2014
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