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.


Published in:
Journal Of Functional Analysis, 266, 5, 3156-3169
Year:
2014
Publisher:
San Diego, Academic Press Inc Elsevier Science
ISSN:
0022-1236
Keywords:
Laboratories:




 Record created 2014-04-02, last modified 2018-09-13


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