Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590266 | Journal of Functional Analysis | 2014 | 14 Pages |
Abstract
We compute L2L2-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 L2L2-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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Henrik Densing Petersen, Alain Valette,